A culture of bacteria has an initial population of 72000 bacteria and doubles every 10
hours. Using the formula P = Po - 2 å, where P is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 17 hours, to the nearest whole number?

Answer:

x = 6

y = 45 degrees

Step-by-step explanation:

Here, we want to get the measure of x and y

For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees

This mean y is 45

To get x, we know we have an isosceles triangle

So the length of the third ungiven leg is x too

Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides

(6 √2)^2 = x^2 + x^2

72 = 2x^2

x^2 = 72/2

x^2 = 36

x = √36

x = 6

Answer:

2.0

Step-by-step explanation:

The question is incomplete ; the fee which Timia would pay isn't given. And this is needed to compute the APR on the loan.

I would assume that the fee which Timia would pay as interest on the 1 - month loan is x

Answer:

r = x / 145.83333

Step-by-step explanation:

If interest paid, I = x

Principal, P = $1750

And period (time) of loan = 1 month = (1/12) = 0.0833333

Rate = r

Using the simple interest formula :

Interest = Principal * rate * time

x = 1750 * r * 0.833333

Make r the subject :

x = 145.83333r

Divide both sides by 145.83333

Hence, the rate value , r becomes :

r = x / 145.83333

Therefore, the student can just input the appropriate, interest value in place of x and obtain the correct and exact answer (I do not want to use an hypothetical value for x) .

Answer:

r = 16 units

Step-by-step explanation:

From the figure attached,

AB is the tangent drawn from a point A to the circle C.

BC = r [Radius of the circle]

Length of AC = (18 + r)

AB = 30

By the property of a tangent drawn to a circle,

"Radius of a circle and tangent are perpendicular to each other"

AB ⊥ BC

By applying Pythagoras theorem in ΔABC,

AB² + BC² = AC²

(30)² + r² = (r + 18)²

900 + r² = r² + 36r + 324

36r = 900 - 324

r = [tex]\frac{576}{36}[/tex]

r = 16 units

Answer:

Final amount after 11 years = $4021.97

Step-by-step explanation:

We will use the formula to get the final amount after t years,

Final amount = [tex]a(1+\frac{r}{n})^{nt}[/tex]

here a = Initial amount

r = Rate of interest

n = Number of compounding in a year

For Initial amount 'a' = $1500

r = 9%

t = 11 years

n = 12 [Compounded monthly]

F = [tex]1500(1+\frac{9}{12})^{12\times 11}[/tex]

  = $4021.97

the answer is x = -2

Answer:

I think it’s -5

Answer:

no

Step-by-step explanation:

3/4=0.75

1/2+n=0.5

Answer:

3/4 is greater than 1/2 I hope this helps you

Answer:

25π

Step-by-step explanation:

i hope u hav a gud day ^_^

Answer:

area = 73.37 cm²

Step-by-step explanation:

area of circle:

A = π5² = 78.5 cm²

area of 80° segment:

(80/360)(78.5) = 17.44 cm²

area of isosceles triangle w/ 5 cm legs and 80° angle:

sin 40° = b/5

0.6428 = b/5

b = 3.214

base = 2(3.21) = 6.43   (we only figured for one-half of the base)

cos 40° = h/5

0.7660 = h/5

height = 3.83

A = 1/2(6.43)(3.83) = 12.31 cm²

area of unshaded part:

17.44 - 12.31 = 5.13 cm²

area of total shaded part:

78.5 - 5.13 = 73.37 cm²

Answer:

yes because Canada is american country

Answer:

551.82feet tall

Step-by-step explanation:

WE are given the following from the question;

Distance of me from the bottom of the building = 1300feet (adjacent)

Angle of elevation = 23 degrees

Required

Height (opposite)

Using the SOH CAH TOA identity

Tan theta = opp/adj

Tan 23 = H/1300

H = 1300tan23

H = 1300(0.4245)

H = 551.82feet

Hence the building is 551.82feet tall

Answer:

= 44j+32

j = -8/11

geometric figure it is called a line.

Step-by-step explanation:

Expand the following:

4 (6 j + 5 j + 8)

Grouping like terms, 5 j + 8 + 6 j = (5 j + 6 j) + 8:

4 (5 j + 6 j) + 8

5 j + 6 j = 11 j:

4 (11 j + 8)

4 (11 j + 8) = 4×8 + 4×11 j:

4×8 + 4×11 j

4×8 = 32:

32 + 4×11 j

4×11 = 44:

Answer: 32 + 44 j

Answer:

30

Step-by-step explanation:

Subtract the 1023 reading from the 1053 one:  

1053

-1023

---------

     30

Her electric consumption was 30.

it's in slope intercept form,, y=mx+b

m is slope

b is y-int

slope: -1

y-int: 1

Answer:

Use five possible postulates:

SSS (all three sides are marked and congruent)

SAS (two sides and one angle marked and congruent)

ASA (two angles and one side marked and congruent)

AAS (same as ASA but in a different order)

HL (right triangle hypotenuse)

Answer:

y=15

Step-by-step explanation:

y=21 - 6

y = 15

hope this helped!

Answer:

m∠1 = 37°

Step-by-step explanation:

if m∠5 = 137 then m∠2 = 43 (supplementary angles)

if m∠7 = 100 then m∠3 = 100 (vertical angles)

m∠1 + m∠2 + m∠3 = 180°

m∠1 + 43 + 100 = 180°

Answer:

Since the games in total add up to 8, we see that 8 is a factor of 24. It goes in 3 times. Therefore, we have to multiply everything by 3 to get the answer out of 24. There will be 6 wins, 15 losses and 3 tie. That adds up to 24.

Answer:

xyxhvhbkkdhkx djdbk dkbdidnxidbduvdjdbxbdbisbd it bdndb

Answer:

i think its second pythagreom therom

Step-by-step explanation:

because

Answer:

8

Step-by-step explanation:

4+4=8

Answer:

1. r = 2.5 mm

2. r = 12ft

3. d = 34 cm

for 4-6 you  use 2(pi) r

4. 25.1 ft

5. 40.8 cm

6. 22 mi

Answer is below. Look at the explanation in order to understand my answer.

To find the diameter, you'll have to get the radius in order to solve the diameter.

Since you said r = 17cm, we should be solving for diameter.

The formula is d = 2r

R will represent the radius.

You'll multiply the 2 by the radius.

Like i've said, R will represent the radius. The radius is 17.

With that being said, we can do the math.

The formula will be: d = 2r → d = 2 × 17

2 times 17 is 34.

The diameter would be 34.

Let me know of question or concerns about my answer.

Answer:

D.

A linear equation is an equation with two variables whose graph is a line. The graph of the linear equation is a set of points in the coordinate plane that all are solutions to the equation. 

[tex]y = 2(5) + 3 = 13 [/tex]

Answer:

45 pounds of the chocolate candy and 5 pounds of the peanut butter candy.

Step-by-step explanation:

let's define the variables:

p = pounds of peanut butter candy she uses

c = pounds of chocolate candy she uses.

We know that she wants to have a total of 50 pounds of the mixture, then we will have that:

p + c = 50

We also want that these 50 pounds sell for $2.16 per pound.

Then we must have that the price for the candies in the mixture must be equal to the desired price, we can write this as:

p*$3.60 + c*$2.00 = (50 )*($2.16 )

Then we have the system of equations:

p + c = 50

p*$3.60 + c*$2.00 = (50)*($2.16) = $108

To solve this, we first need to isolate one of the variables in one of the equations. I will isolate p in the first equation to get:

p = 50 - c

Now we can replace this in the other equation to get:

(50 - c)*$3.60 + c*$2.00 = $108

Now we can solve this for c.

$180 - c*$3.60 + c*$2.00 = $108

$180 - c*$1.60 = $108

$180 - $108 = c*$1.60

$72 = c*$1.60

$72/$1.60 = c = 45

This means that she should use 45 lb of the chocolate candy, and using the equation:

p + c = 50

p + 45 = 50

p = 50 - 45 = 5

p = 5

She should use 5 lb of the peanut butter candy.

Number line with closed circle on 15 and shading to the right. That's because 32 - 17 = 15 and since you need at least 15 more dollars the circle would be closed and shading to the right since it's at least meaning 15 or more.

The answer is c i took the test a long time ago

Answer:

C. Number line graph with closed circle on 15 and shading to the right.

Step-by-step explanation:

i took the test