A bacteria's growth is modeled, in thousands of cells, by y = 25(2)^x. At time x= 0, how many cells were there? How many cells will there be at time x= 3?
A. 2.000:5.000
B. 2.000; 25.000
C. 25,000: 50.000
D. 25.000 200.000 ​

Answer:

[tex]y+21 = -4(x-7)[/tex]

Step-by-step explanation:

1) First, find the slope of the line between the two points. Use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of (7, -21) and (-4, 23) into the formula and simplify:

[tex]m = \frac{(23)-(-21)}{(-4)-(7)} \\m = \frac{23+21}{-4-7}\\m = \frac{44}{-11}\\m = -4[/tex]  

So, the slope of the line is -4.

2) Now we have all the information we need. To write the equation of the line, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].

Since [tex]m[/tex] represents the slope, substitute -4 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (7, -21) into the equation as well. This gives the following answer:

[tex]y+21 = -4(x-7)[/tex]  

Answer:

Perimeter = (16z - 2)

Step-by-step explanation:

Perimeter of a polygon = sum of the lengths of all sides of the polygon

Sum of all sides of the trapezoid = (z + 5) + (8z - 10) + (4z + 9) + (3z - 6)

By adding like terms,

Perimeter of the trapezoid = ( z + 8z + 4z + 3z) + (5 - 10 + 9 - 6)

                                            = 16z - 2

Therefore, expression representing the perimeter of the trapezoid will be,

(16z - 2)

Answer: 5n = 35

Step-by-step explanation:

The product of a number n and the number 5 is 35. This statement can be formed into an equation as:

n × 5 = 35

5n = 35

The equation is 5n = 35

If we want to get the value of the number, it'll be:

5n = 35

n = 35/5

n = 7

The number is 7

Answer:

$ 825

Step-by-step explanation:

10 yard = $150

55yard = ?

55yard* $150 /10yard

55*15 =825 then the correct answer of

$55 yard is 825

Answer:

I might be wrong but I think it's 180 millimeters.

Step-by-step explanation:

4cm times 5cm times 9cm = 180 millimeters

1. 4cm times 5cm = 0.002 m^2

2. 0.002 m^2 times 9cm = 180 millimeters

Hopes this helps. If not please tell me. I will try to improve.

Answer:

1/32

Step-by-step explanation:

You plug 7 for n and solve in calculator.

Answer:

1/128*4= 0.03125

Step-by-step explanation:

We can simplify the formulas to get 1/2^n *4. Substitute 7 for n and you get your answer.

Answer:

heyy! im reaaally sorry if its wrong but I think its c, f, d

brainliest? :)

Step-by-step explanation:

Answer:

7= D

8= F

9= C

Step-by-step explanation:

7. x - 3 [tex]\leq[/tex] 7

     +3     +3

x [tex]\leq[/tex] 10

8. 3b < 18

   /3       /3

    b < 6

9. [tex]\frac{y}{3}[/tex] > 9

  *3    *3

 y > 27

10- 12 I am so sorry, but I don't understand these functions lol

Answer:

Yes

Step-by-step explanation:

Ye yes yes =yes yes hes

Answer:

Number of bags of chocolate chip cookies = x = 0.133 bags

Number of bags of walnuts = 7.7 bags

Step-by-step explanation:

Chocolate chip cookies = 12oz per bag = $3

Walnuts = 4oz per bag = $2

She need 3 pounds of Chocolate chip cookies and Walnuts

Let us represent

Number of bags of chocolate chip cookies = x

Number of bags of walnuts = y

She need 3 pounds of Chocolate chip cookies and Walnuts

Hence,

We have to convert oz (ounces) to pounds

For chocolate chip cookies

1 oz = 0.0625 pound

12 oz = x

Cross Multiply

x = 12 × 0.0625 pound

x = 0.75pound

For Walnuts

1 oz = 0.0625 pound

4 oz = x

Cross Multiply

x = 4 × 0.0625 pound

x = 0.25pound

Hence,

0.75 pound = $3

0.25 pounds = $2

She can only spend $15

Chocolate chip cookies = 12oz per bag = $3

Walnuts = 4oz per bag = $2

Hence,

0.75x + 0.25y = 3..... Equation 1

3x + 2y = 15.... Equation 2

Multiply Equation 1 by 2 and Equation 2 by 0.25

1.5x + 0.5y = 3... Equation 3

1.5x + 4y = 30.... Equation 4

Subtract Equation 3 from 4

3.5y = 27

y = 27/3.5

y = 7.7 bags

Solving for x using Equation 2

3x + 2y = 15.... Equation 2

3x + 2(7.7) = 15

3x + 15.4 = 15

3x = 0.4

x = 0.4/3

x = 0.133 bags

Number of bags of chocolate chip cookies = x = 0.133 bags

Number of bags of walnuts = 7.7 bags

Answer:

the number of orange sodas be 60

Step-by-step explanation:

Let us assume the orange ones be x

And, the cola ones be y

Now according to the question

x + y = 100

y = 100 - x.........(1)

35x + 38y = $3,620........(2)

Now put the value of equation 1 in equation 2

So,

35x + 38(100- x) = 3620

35x + 3800 - 38x = 3620

-3x = -180

x = 60

Hence, the number of orange sodas be 60

Answer:

(A)

Step-by-step explanation:

Well you gotta isolate the variable by perfoming inverse operations so you gotta dd 70 to both sides.

Answer:

c) 19

Step-by-step explanation:

9^2+17^2 = 81+289 = 370

sqrt370 = approx 19

Answer:

14boxes

Step-by-step explanation:

Given the following

Length of truck: 3 1/2 yds

Width of truck: 5 yds

Height of truck: 2 1/2 yds

Volume of truck = Length * Width * Height

Volume of truck = 3 1/2 * 5 * 2 1/2

Volume of truck = 7/2 * 5 * 5/2

Volume of truck  = 7/4 cubic yards

For each box

Length L = 1/2 yd

Volume of each box = 1/2 * 1/2 * 1/2

Volume of each box = 1/8 cubic yds

Since 1 box = 1/8 cubic yds

x box = 7/4 cubic yds

Cross multiply

1/8x = 7/4

Cross multiply

4 * x =   7 * 8

4x = 56

x = 56/4

x = 14

Hence the total boxes that can fit in the trunk is 14boxes

201.06cm²  

Hope this helps.

Perimeter of the shape is =sum of all the side

Perimeter =16.2+7.5+18+12+18+7.5

Perimeter =79.2

Perimeter

Answer:

perimeter=12+18+18+7.5+7.5+16.2

=79.2m

Answer:

15x 1y

Step-by-step explanation:

im smart

Answer:

88 sq units

Step-by-step explanation:

Area of the rectangle = 14*4= 56 (length*width)

Formula for the area of a Δ = 1/2 * b * h =

1/2 * 8 * 8 =

4*8 = 32

Add:

56+32 = 88

Answer:

9 units

Step-by-step explanation:

Given: Two points on a coordinate plane are [tex](-5,9),\,(4,9)[/tex]

To find: distance between points [tex](-5,9),\,(4,9)[/tex]

Solution:

According to the distance formula,

Distance between points [tex](a,b)[/tex] and [tex](c,d)[/tex] is equal to [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]

Take [tex](a,b)=(-5,9),\,(c,d)=(4,9)[/tex]

Therefore,

Distance between points [tex](-5,9),\,(4,9)[/tex] [tex]=\sqrt{(4+5)^2+(9-9)^2}[/tex]

                                                               [tex]=\sqrt{(9)^2}[/tex]

                                                               [tex]=9[/tex] units

Step-by-step explanation:

start with bracket,4 + 8=12

1/2×12=6

Answer:

The answer you have marked is correct

Step-by-step explanation:

The angles added together equal 360

Answer:

50 is the sum

Step-by-step explanation:

-10+20=10

10+-40=-30

-30+80=50

Answer:

try clicking on another option?

-9+9i

Hope this helped :T

Answer:

its 12 100%

Step-by-step explanation: i just did the test

Answer:

The answer for the color red is 7 and for the color blue is 13

519.99(.0825) = 42.899

519.99 + 42.899 = $562.89

Answer:

Sales tax---> 553.98 x 0.075= 41.5485

Total---> 553.98 + 41.5485= 595.5285

Round to nearest tenth---> 595.53 is your answer