Help me please and thank you

Answer:

M(t) = 6.7 * 10⁷ (67 million)

Minutes (t) =55

Step-by-step explanation:

1. Write an exponential equation that represents M, the total number of bacterial microbes in millions, as a function of t, the number of minutes the sample has been observed.

For answering this question, we will use the following formula:

M(t) = B₀ * g ^(t/m), where:

•M(t) represents the total number of bacterial microbes in millions.

• B₀ represents the initial population of bacteria in millions.

• g represents the growth factor.

• t represents the total number of minutes we will observe the bacteria growing.

• m represents the time in minutes it takes to the growth factor g to occur.

2. Then, determine how much time, to the nearest minute, will pass until there are 67 million bacterial microbes.

M(t) = B₀ * g ^(t/m)

Replacing with the values we know:

6.7 * 10⁷ = 10⁷ * 2 ^(t/20)

6.7 = 2 ^(t/20) (Dividing by 10⁷ at both sides)

ln 6.7 = ln 2 ^(t/20)

ln 6.7 = t/20 ln 2

ln 6.7/ ln 2 = t/20

t = ln 6.7/ln 2 * 20

t = 2.74 * 20

t = 54.88

t ≅ 55 (rounding to the nearest minute)

Answer: the answer is  3

Step-by-step explanation:

This says to put " 3"  into 2x + 4 and then evaluate

So

2(3)  + 4  =

6 + 4  =

10

'x'  can be thought of as a "box" that contains some number.....in this case, the number is 3......!!!

Answer:

-10

Step-by-step explanation:

f(x) = 2x - 4

f(-3) = 2(-3) - 4

f(-3) = -6 - 4

f(-3) = -10

Answer:

10

Step-by-step explanation:

Tₙ=n+5

T₅=5+5=10

Answer:

The x=2 is the correct option.

Step-by-step explanation:

when we have 4x which means 4*x +4 so the side seems small when we multipy and add we get the smaller number as.. 12 but, other number take so big...

Answer:

option B

Step-by-step explanation:

Answer:

the answer is d (the last one).

pq= -10 x 4= -40 (lowest value)

p-q= -10 - 4= -14 (middle value)

p+q= -10 + 4= -6 ( highest value)

Answer:

4.6cm

Step-by-step explanation:

Answer:

$250.8

Step-by-step explanation:

13.4 = $2.85

13.4 x 15 = 111.0

111.0 = $42.75

111.0 x 6 = 666.0

666.0 - 26.0 = 640.0

$42.75 x 6 = $256.5

$2.85 x 2 = $5.07

$256.5 - $5.07 = $250.8

not gona lie this took forever lol

Hope this helps if so don't hesitate to 'Thanks' and/or 'brainliest' this answer!

The total cost of 640 liters of gas is $35.91.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Gas from a local station costs $2.85 per gallon (in US dollars).

We know that, 1 gallon = 3.785 liters

Tara's car gets 13.4 kilometers to the liter.

Number of liters of gas = 640/13.4

= 47.76 liters

Number of gallons = 47.76/3.785

= 12.6 gallons

Total cost = 12.6×2.85

= $35.91

Therefore, the total cost of 640 liters of gas is $35.91.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Answer:

2(5) nd 28

Step-by-step explanation:

Answer:

2(5) 28 like the top person said

Step-by-step explanation:

Answer:

A teacher made a copy of a map. To make the map easier to see, the teacher enlarged the area of the map by 38%. Let d represent the area of the original map. The expression d + 0.38d is one way to represent the area of the new map. Write two expressions that represent the area of the new map.​

Step-by-step explanation:

Answer: hello your question is not well written but it seems you are asking for the Total distance covered during the rides hence i will give you a general solution

Total distance travelled during rides = 16.36 km

Total duration of rides = 1 hour

Step-by-step explanation:

Given that :

b = number of hours from house to beach

p = number of hours from beach to park

since the total duration of the rides = 1 hour

hence: b + p = 1 ------ ( 1 )

Also ; speed from house to beach = 18 km/hr

         speed from beach to park = 15 km/hr

Given that distance covered in both directions are equal and distance = s * t

Hence distance covered :   18b = 15p ------  ( 2 )

determine the total distance travelled

b + p = 1 ------ ( 1 )

18b = 15 p ----- ( 2 )

from equation 1 : b = 1 - p

18 ( 1 - p ) = 15p

18 = 15p + 18p

p = 18 / 33 = 6/11

back to equation 1

b + 6/11 = 1

hence b = 1 - 6/11 = 5/11

Distance covered in one direction

18 ( 5/11 ) = 15 ( 6/11 )

90 / 11  = 90 /11

hence Total distance covered = ( 90 / 11 ) * 2 = 16.36 km

Answer:

2

Step-by-step explanation:

For A and B, count to the y axis (vertical line)

Answer:

=4x^2−20xy+25y^2

Step-by-step explanation:

(2x−5y)^2

=(2x+−5y)(2x+−5y)

=(2x)(2x)+(2x)(−5y)+(−5y)(2x)+(−5y)(−5y)

=4x^2−10xy−10xy+25y^2

=4x^2−20xy+25y^2

Hope it helped!

Answer:

(2x)^2- 2*(2x)*(5y)+(5y)^2= 4x^2-20xy+25y^2

Step-by-step explanation:

Identity- (a-b)^2= a^2-2ab+b^2

Answer:

5 miles thank me later

Step-by-step explanation:

Step-by-step explanation:

Given

[tex] = 27^{ \frac{1}{3} } \times 16^{ \frac{ - 1}{4} } \\ = {3}^{3 \times \frac{1}{3} } \times 2 {}^\frac{ - 1 \times 4}{4} \\ = 3 \times - 2 \\ = - 6[/tex]

Hope it will help :)❤

Answer: she has been home 68 mins so one hour and 8 mins

Answer:

1 hour and 40 minutes.

Step-by-step explanation: Just add them all up and then convert them into hours and minutes.

Answer:

2 + x

2 + (x)

x + (2)

Step-by-step explanation:

Switch them around.

Answer:

It would be {10, 16, 27}, {12, 27, 39}, {8, 22, 31} that DO NOT represent 3 sides of a triangle

Step-by-step explanation:

Since the only answer where the first 2 numbers is greater than the 3rd/last number is {14, 28, 39} (which makes it the only traingle), the others would ALL NOT be triangles.

Answer:

Options A, D

Step-by-step explanation:

The way that we will be checking if these 3 numbers can represent a triangle is by checking if a + b ≥ c.  That means that the first two sides have to be greater than or equal to the third side.

Step 1:  Determine if Option A is a triangle

10 + 16 = 26    <-    26 is less than 27 that means that it cannot form a triangle.

Step 2:  Determine if Option B is a triangle

14 + 28 = 42    <-    42 is greater than 39 which means that these three numbers can form a triangle.

Step 3:  Determine if Option C is a triangle

12 + 27 = 39    <-    39 is equal to 39 which means that these three numbers can form a right triangle.

Step 4:  Determine if Option D is a triangle

8 + 22 = 30    <-    30 is less than 31 meaning that these three numbers can't form a triangle.

Answer: Options A, D

Answer:

5

Step-by-step explanation:

coefficient is a number before a letter in this case itz 5

Answer:

The value of the missing coordinate 'r' is -10

Step-by-step explanation:

The two points have the following given parameters;

The point coordinates = (4, -17) and (8, r)

The line on which the two points rests has a slope of, m = 3/4

To find the value of 'r', we use the slope formula as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Plugging in the values gives;

[tex]m = \dfrac{3}{4} = \dfrac{-1-r}{11-(-1)} =\dfrac{-1-r}{11 + 1} = \dfrac{-1 - r}{12}[/tex]

[tex]\dfrac{3}{4} =\dfrac{-1 - r}{12}[/tex]

∴ 3 × 12 = 4 × (-1 - r)

36 = -4 - 4·r

36 + 4 = -4·r

r = 40/(-4) = -10

r = -10

Answer:

[tex]Average\ Rate = \frac{104}{3}[/tex]

Step-by-step explanation:

Given

See attachment for table

Required

Determine the average rate of change over: 4≤x≤7.

Average rate of change is calculated as:

[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where:

[tex]a=4[/tex]

[tex]b = 7[/tex]

So:

[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]Average\ Rate = \frac{f(7) - f(4)}{7 - 4}[/tex]

[tex]Average\ Rate = \frac{f(7) - f(4)}{3}[/tex]

From that table:

f(4) =

f(7) =

So:

[tex]Average\ Rate = \frac{f(7) - f(4)}{3}[/tex]

[tex]Average\ Rate = \frac{108-4}{3}[/tex]

[tex]Average\ Rate = \frac{104}{3}[/tex]

Answer:

The missing coordinate, 'r', is 3

Step-by-step explanation:

The given parameters of the two points are;

The coordinates of the given points = (4, -17) and (8, r)

The slope of the line on which the two points lie, m = 5

The formula for finding the slope of a line is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, we have;

[tex]m =5 = \dfrac{r-(-17)}{8-4} = \dfrac{r + 17}{4}[/tex]

[tex]5 = \dfrac{r + 17}{4}[/tex]

5 × 4 = r + 17

r = 20 - 17 = 3

r = 3

Answer:

x

=

2

±

√

7

Explanation:

there are no whole numbers which multiply to - 3

and sum to - 4

we can solve using the method of  

completing the square

the coefficient of the  

x

2

term is 1

∙

add subtract  

(

1

2

coefficient of the x-term

) 2  to x2 − 4 x ⇒ x 2 +2(− 2 ) x + 4 − 4 − 3 = 0 ⇒ ( x − 2 )2 − 7 =0 ⇒ ( x − 2 ) 2 = 7

take the square root of both sides

⇒ x − 2 = ± √ 7 ←

note plus or minus

⇒ x = 2 ± √ 7←

exact solutions

Step-by-step explanation:

x²-4x+3=0

x²-4x=-3

take half of -4 square it and add it to both side

x²-4x+(-2)²=4-3

(x-2)²=1

x-2=±1

x=2±1

x=1,3

Answer:

Es el conch pura thes con

Answer:

V=1526.82 mi³

Step-by-step explanation:

The formula for the volume of a right circular cone is V=πr²(h/3).

The radius is half of the diameter of 18, so it is 9 mi.

The height is 18 mi.

Plug in your numbers into the formula.

V=π9²(18/3)

V=π81(6)

V=π486

V=1526.82 mi³

Answer:

x=8

Step-by-step explanation:

63+90+2x+11=180

Answer:

B

Step-by-step explanation:

Add 63 and 90 to find the left angle. Then subtract by 180.

Since that answer is 27, add it to 90 and subtract by 180 to find the last angle in the middle. then finally the angle in the corner should equal 27 since the triangles are congruent.

Answer:

∠ R = 120°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180 , that is

subtract 60 from 180

∠ R = 180° - 60° = 120°

Answer:

9

Step-by-step explanation:

So the formula for a triangular pyramid is v=1/3bh

you plug in the values and you get 63=1/3(21)(h) and since you are finding the height, you get h=63*3/21

and then you check answers with

63=1/3(21)(9) which is true so the height is 9

Answer:

6b + 2

Step-by-step explanation:

If Val is planting b seeds in one and 5b + 2 in the other, the expression showing the total is: b + (5b + 2) or 6b + 2 seeds.