In a lab, 450 cells are present at the beginning of an experiment. The number of cells increased by 18% each hour. a) Write an exponential growth model giving the number of cells y present t hours after starting the experiment. b) Estimate the time when the number of cells is 1,030.

Answer: Below

Step-by-step explanation:cotA=11/60

tan=opposite/adjacent

cot=1/tan

cot=adjacent/opposite

cotA=11/60

adjacent=11

opposite=60

using the Pythagorean Theorem, the hypotenuse=61

csc=1/sin

cscA=1/sinA

sin=opposite/hypotenuse

sinA=60/61

csc=1/sin

cscA=61/60

The value of Cos A is [tex]\frac{11}{61}[/tex].

The cosine of an angle is defined as the sine of the complementary angle. The complementary angle equals the given angle subtracted from a right angle, 90°. For instance, if the angle is 30°, then its complement is 60°.

According to the given problem,

Given, cot A = [tex]\frac{11}{60}[/tex],  and angle A is in first quadrant then, all the function's value will be positive in nature.

Now, cot A = [tex]\frac{Base}{Perpendicular}[/tex]

cot A =  [tex]\frac{11}{60}[/tex]

Base = 11

Perpendicular = 60  

Using the Pythagorean Theorem

Hypotenuse² =  Perpendicular² +Base²

⇒ Hypotenuse² = 11² + 60²

⇒ hypotenuse = 61

Then, Cos A = [tex]\frac{Base}{Hypotenuse}[/tex]

Cos A = [tex]\frac{11}{61}[/tex]

Hence, we can conclude that Cos A is [tex]\frac{11}{61}[/tex].

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It is =3.14159265359 :)

Answer:

He has $7.75 left.

Step-by-step explanation:

To solve this problem you must subtract $25.50 by $17.75 because he bought the pen for 17.75 which is being taken away from his amount of money to start with ($25.50).

Step by step solving the subtraction problem:

$25.50-$17.50 = $7.75

So 25.50 - 17.75 you would need to make the 0 become a ten and then subtract 10 and 5, then you bring down the 5 from ($25.50) and make it 14 and subract 14 and 7. Then bring down the other 5 and make it 14 as well and subract 14 by 7 which is 7. Finally make the 2 a 1 and it will end up being 1-1 which is zero. So the answer will end up being $7.75. Hope that helps. Sorry that this answer took long for it to be posted.

Answer:

The exponential equation is;

y = 0.1•0.5^x

Step-by-step explanation:

Here, we want to get the exponential function represented by the table

Mathematically, the general form of an exponential function is;

y = a•b^x

By getting a and b, we have the exponential function

We can use any of the points;

Let us start with (0,0.1)

0.1 = a•b^0

anything raised to zero is 1

0.1 = a * 1

a = 0.1

Now, we have a

Let us work with the second point to get b

The point is (1,0.05)

0.05 = 0.1•b^1

0.05 = 0.1b

b = 0.05/0.1

b = 0.5

Thus, we have the equation as;

y = 0.1•0.5^x

Answer:

95.40 total and 5.40 in intreset

Step-by-step explanation:

Answer:

A = $95.40

I = A - P = $5.40

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

A = 90(1 + (0.06 × 1)) = 95.4

A = $95.40

The total amount accrued, principal plus interest, from simple interest on a principal of $90.00 at a rate of 6% per year for 1 years is $95.40.

Answer: lxWxH

7x8x9=504in

Step-by-step explanation:

Answer:

SSS for the top one

SSS for the second one

Step-by-step explanation:

Answer:

600 + 70 + 4 + .900 + .010 + .009

Step-by-step explanation:

you just break up the number to write it in expanded form.

Answer:

Step-by-step explanation:

cone: attached picture below

composite shape: To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together. You may have to calculate missing lengths before finding the area of some of the shapes.

ratio: not sure about that question sorry

last question: i have no idea what it is about because my device won't open the picture sorry

though i have answered 2 question of yours

have a great evening

Answer:

Surface area:

Scale factor

Area is a function of two dimensions, each has k applied

Option C

Volume of prism:

Volume of pyramid:

Option A, same volume

Ratio of areas:

Scale factor is:

Answer:

area = 81.25 in²

Step-by-step explanation:

area = 1/2(5)(3.25)(10) = 81.25 in²

Answer:

17.28

Step-by-step explanation:

20%/ 14.40= 2.88

2.88+14.40=17.28

Answer:

$17.28

Step-by-step explanation:

14.40 x 20% (0.20) = 2.88

14.40 + 2.88 = 17.28

Answer:

sorry I can't know the answer

The scale factor used is {k} = 164.4.

Scale factor is the ratio of original dimensions to the scaled dimensions.

Given is that Eiffel Tower is 986 feet tall. Caroline built a scale model that is 6 inches tall.

We can write the scale factor as -

{k} = 986/6

{k} = 164.4

Therefore, the scale factor used is {k} = 164.4.

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Answer:

it is 300 i think

300.

The midpoint is 300 because the distance from the 2 points is 100 so 300.

Answer: 7 3/4 x 3 5/7 is 28 11/14

Step-by-step explanation:

7 3/4 x 3 5/7

31/4 x 26/7

806/28

403/14 or 28 11/14

Answer:

44 2/7

Step-by-step explanation:

Turn into improper fractions

31/4*40/7

Cross Multiply (4 and 40)

31/1*10/7

Now multiply

310/7

Simplify

44 2/7

Hope this helps!!!

Have a great day!!!!

Answer:

It's y-x= -4

Step-by-step explanation:

I drew the graph and figured out the points. Hope this helps.

Answer:

Step-by-step explanation:

The answer D $69

And also if you round that , that is 70

Answer:

I think it's B

id say it is b but a dif person to awnser

Answer: whatdidshesay

Step-by-step explanation:

Answer: x=3

Step-by-step explanation: Hope this help :D

Answer:

x=3

Step-by-step explanation:

4(2x+3)=36

8x+12=36

8x=24

x=3

Answer:

1/-2

Step-by-step explanation:

Answer:

I think its -2

Step-by-step explanation:

y2-y1/x2-x1

Answer:

D

Step-by-step explanation:

math and way

Answer:

32.86 degrees.

Step-by-step explanation:

cos x = adjacent side / hypotenuse

= 21/25

= 0.85

x = arcos 0.84

= 32.86 degrees.

Answer:

$936

Step-by-step explanation:

10% is just divided by 10 so 9360 divided by 10 is 936

Answer:

Here's the answer

Step-by-step explanation:

Hope it will help.

Answer:

Number of goals to convert in game 5= 3 goals

Step-by-step explanation:

Giving the following information:

A soccer player's average during her first two seasons was 1.4 goals per game.

First, we need to determine the number of goals converted:

Goal games 1-4= 4

Now, the number of goals she must have at five games and by the difference the number of goals to convert:

Number of goals for five games= 1.4*5= 7

Number of goals to convert= 7 - 4= 3 goals

Answer:

the asnwer is

Step-by-step explanation:

infinite solutions because 2(x-2) it equals 2x-4 and that is the first euqation

making 2x-4=2x-4 which is right

Answer:

Part A

Martha is incorrect because she will pay 1/4 of the cost.

40%+0.35

0.40+0.35

0.75

0.25=25/100=1/4

Part B

Renee-$340

Susan-$297.50

Martha-$212.50