A scientist illegally introduces new species of honey bees in their labs. The growth of the population of this new species is modeled by the equation below, where x is the time in weeks following the introduction of the species. If the lab contains 450 bacteria after 2 weeks, how many bacteria did the scientist initially create?

A,30
b.40
c.50
d.60

Answer:

y = 2x - 10

y=-8×

put the value of y in equation

y= 2x-10

-8x = 2x - 10

-8x= -8x

x = -8/-8

x=1

Answer:

4000

Step-by-step explanation:

A=P(2)^(t/d)

A=future amount

P=starting amount

t=time elapsed

h=doubling time

given

P=10^3

t=6

d=2

A=10^3(2)^(6/2)

A=10^3(2)^2

A=10^3(4)

A=4*10^3

A=4000

4000 bacteria

Answer:

Volume of the cone V》1570 cm^3

Volume of the hemisphere V》4186.67cm^3

Volume of the entire figure V》5756.67cm^3

hope it helps...

hope it helps...have a great day !!

Answer:

#1

#2

#3

Answer:

b^2-4b+3=0

b²-3x-b+3=0

b(b-3)-1(b-3)=0

(b-3)(b-1)=0

either

b=3 or b=1

.

2n^2 + 7 = -4n + 5

2n²+4n+7-5=0

2n²+4n+2=0

2(n²+2n+1)=0

(n+1)²=0/2

:.n=-1

.

x - 3x^2 = 5+ 2x - x^2

0=5+ 2x - x^2-x +3x^2

0=5+x+2x²

2x²+x+5=0

comparing above equation with ax²+bx +c we get

a=2

b=1

c=5

x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1

={-1±√-39}/2

Answer:

Dilations which reduce or enlarge an object. Translations which move the object from one part on the graph to another. I have also learned about how to construct a perpendicular bisector.

Step-by-step explanation:

====================================

====================================

--> Actually, Flat shapes like squares, circles, and triangles are a part of flat geometry and are called 2D shapes.

These shapes have only 2 dimensions, the length and the width.

( based on what i know )

Answer:

area = 88 yd²

Step-by-step explanation:

area = 1/2(b1 + b2)h = 1/2(9 + 13)(8) = 88 yd²

Answer:

88 yd^2.

Step-by-step explanation:

Area of a trapezoid = 1/2 * h * (a + b) where h = height, a and b are lengths of 2 parallel side.

Area = 1/2 * 8(9+13)

= 4 * 22

= 88 yd^2.

Answer:

Change in water level over thr period Given is 11.16 mm

Step-by-step explanation:

The change in water level. In the part of the river observed will be ;

Water level. = The rate of change in water level per year * period

Rate of change in water level = 1.8mm /year

Number of years = 6.2

The change in water level is thus :

1.8 mm / year * 6.2 years

= (1.8 mm / year * 6.2

= 11.16 mm

Answer:

6.72x10^7

Step-by-step explanation:

I hope this helps

Answer:

28

Step-by-step explanation:

For Luis to get a mean of 20 he would need:

14 + 18 + 15 + 25 + x (unknown number of goal he needs) / 5 = 20

Therefore 14 + 18 + 15 + 25 + x = 100

Solve for x to get 28

Answer:

you do pythagorean theorem

Step-by-step explanation:

the base is 8 and the side length is 6 so you do 8²+6²

8²=64 +6²=36

64+36=100 you have to square 100 which is 10

C=10

Answer:

257 students in the lower school

Step-by-step explanation:

you want to make the fractions have an equal denominator so make 1/3 5/15s and 2/5 to 6/15's, 5+6= 11/15s that leaves 4/15's for the lower part of the school

4 divided by 15 is 4.6 repeating so divide 1200 by 4.66 and boom

Answer:

yes I will help you just give the question

Answer:

d = 4

Step-by-step explanation:

Given f varies inversely as d² then the equation relating them is

f = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation

To find k use the condition when d = 2, f = 6 , then

6 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

24 = k

f = [tex]\frac{24}{d^2}[/tex] ← equation of variation

When f = 1.5 , then

1.5 = [tex]\frac{24}{d^2}[/tex] ( multiply both sides by d² )

1.5d² = 24 ( divide both sides by 1.5 )

d² = 16 ( take the square root of both sides )

d = [tex]\sqrt{16}[/tex] = 4

Answer:

4⁶

Step-by-step explanation:

10 - 4 = 6

Answer:

y==$281+$166=$447

in 11 weeks she pay $ 447

in 1 weeks she pay $447/11=40.6$

she paid off in 3+8=11 weeks

I am not sure

Answer:

Thanks for the points it feels really nice to help others

Step-by-step explanation:

Answer:

258

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

√{258×258}=√258²=258 is your answer

Answer:

Sam had 80 dollars in his pocket. He was feeling generous, so he handed out equal amount of money to each of his friends. After he handed out the money, he had 53 dollars left. How much did Sam give out to each one of his friends?

Step-by-step explanation:

In this real-world problem, the money he had at the beginning resembles the 80 in the equation. The -3x is the money he gives out to each of his friends. The 53 on the right-hand side is the money he has left after he gives the money away.

Answer:

C

Step-by-step explanation:

The area is calculated as width × length , that is

[tex]\frac{50\sqrt{3} }{\sqrt{2} }[/tex] × [tex]\frac{80\sqrt{5} }{\sqrt{3} }[/tex] ( cancel [tex]\sqrt{3}[/tex] on numerator/ denominator

= [tex]\frac{50}{\sqrt{2} }[/tex] × 80[tex]\sqrt{5}[/tex]

= [tex]\frac{4000\sqrt{5} }{\sqrt{2} }[/tex]

To rationalise the denominator multiply numerator/denominator by [tex]\sqrt{2}[/tex]

= [tex]\frac{4000\sqrt{6} }{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex]

= [tex]\frac{4000\sqrt{10} }{2}[/tex]

= 2000[tex]\sqrt{10}[/tex] → C

Answer: The answer is C!

Step-by-step explanation:

Hope this helps, can I please have brainliest?

Answer:

C: 10

Step-by-step explanation:

I multiplied the two of them. And that triangle is 90 degrees

Answer:

15x is the answer ihope this helps:j

Answer:

goodjob

Step-by-step explanation:

Answer:

It was a 16.5% tip!

Please mark brainliest and I hope this answer helped :)

Answer:

y=3x+20

Step-by-step explanation:

So first, I don't like fractions so I would multiply the whole equation by 4. This will make the equation 3x+y=20. Then you have to isolate the y to find the answer so you should subtract 3x from both sides. This will make the equation look like this y=-3x+20. Therefore, y=3x+20

Answer:

39

Step-by-step explanation:

29+112= 141  180-141=39

Answer:/

I,,,,M SORRYI NEED POINTSSS

Step-by-step explanation:

Answer:

this is what i think you were asking for, if not you can use this to make a similar graph

Step-by-step explanation:

*see attached photo*

Answer:

B. Point M

Step-by-step explanation:

Point N (-4, 2) is 4 units away from the y axis, going left

Point M (-4, -2) is also 4 units away from the y axis, going left