If the number of bacteria in a colony doubles every 21 hours and there is currently a population of 150 bacteria, what will the population be 42 hours from now?

a, c, c, b, d hope this helps

Answer:

1) False

2) True

3) a) True b) False

4) False

Step-by-step explanation:

1)

Two-point are collinear if they lie in the same line. The vector -2AB is antiparallel to the vector AB then it is False.

2)

A unit vector could be difinede as:

[tex]\vec{u}=\frac{\vec{v}}{|\vec{v}|}[/tex]

Terefore, [tex]\frac{1}{AB}\vec{AB}[/tex] is a unit vector. It is True.

3)    

a) If AB=-3AC

The points, A, B, and C are collinear, because all of them lie in the same line. True

b) Let's take the modulus in each side.

[tex]\vec{AB}=-3\vec{AC}[/tex]

[tex]|\vec{AB}|=|-3\vec{AC}|[/tex]

[tex]|\vec{AB}|=|-3||\vec{AC}|[/tex]

[tex]|\vec{AB}|=3|\vec{AC}|[/tex]

So it is False.

4)

If we put the vector AI = 3/2 AB into the first equation we will have:

[tex]2(-\frac{3}{2}\vec{AB})+3\vec{IB}=-3\vec{AB}+3\vec{IB}[/tex]

And we can not say that it is a cero vector, so it is False.

I hope it helps you!

Answer:

Uh what are you saying?

Step-by-step explanation:

Thanks for the points btw

Answer:

dum bot answerd

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

The sum of two interior angles in a triangles is equal to one exterior angle that is supplementary to the third interior angle

3x+4x = 10x - 45

7x = 10x - 45 transfer 45 to the other side of equation and subtract 7x from 10 10

45 = 10x - 7x

45 = 3x divide both sides by 3

15 = x angle B is 4*15 = 60

Answer:

B = 115

Step-by-step explanation:

Since A and B are supplementary, they add up to 180 degrees.

Thus, 65 + B = 180, and B = 115

Answer:

48 cm

Step-by-step explanation:

If it's square and the area is 144, then the sides are each 12cm (a = l x w, 144 = 12 x 12)

12cm x 4 sides = 48cm

Answer:

48

Step-by-step explanation:

The area is 144 cm².

A = s²

144 = s²

[tex]\sqrt{144\\}[/tex] = s

12 = s

photo frame is a square.

perimeter of a square = 4 * s

P = 4 *s

P = 4 (12)

P = 48

Answer:

46080 ft²

Step-by-step explanation:

Given :

Scale :

1 in = 4 feets

Recall :

I foot =. 12 inches

Length of drawing = 4 feets

Length of drawing in inches = 4 * 12 = 48 inches

Width of drawing = 5 feets

Width of drawing in inches = 5 * 12 = 60 inches

Actual length of pool = 48 * 4 = 192 feets

Actual width of pool = 60 * 4 = 240 feets

The actual area of the pool :

Length * width

192 feets * 240 feets = 46080 ft²

Answer:

The third angle is 50°

Step-by-step explanation:

In a triangle, all the angles must add up to 180° such that:

[tex]180= a+b+c[/tex]  where a , b, and c are all angles

Since we know that two of the angles are 57° and 73°, we can subtract them from 180° to find the third angle.

Using the above equation, we can rearrange it to solve for the missing value:

180°= a + b + c

180°=57°+ 73° +c                          Substitute the angles in for any 2 variables

180°- 57°-73°= c                    Rearrange the equation to solve for last variable

50°= c

The third angle is 50°

The answer is going to be 35 :)

Answer:

30034 ML

Step-by-step explanation:

mark me brainllest

Answer:

30034 ML

Step-by-step explanation:

give person above me brainllest

Answer:

Step-by-step explanation:

I think it’s the last one

Answer:

8 quarts

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Water = 2 quarts

Orange Juice = 1quarts

Mango Juice = 2 quarts

Strawberry juice = 1 quart

Pineapple Juice = 2 quarts

So, Total mixture = Sum of all ingredients in quarts

= 2 + 1 + 2 + 1 + 2 = 8 quarts

Hence, Maria makes 8 quarts of punch.

Answer:

60,000

Step-by-step explanation:

Explanation: 34 is double of 17 so the town doubles twice, 15,000 * 2 * 2 is your Expression and leads you to 60,000.

Answer:

∠ABD =∠DBC (CPCTC)

∠ABC is composed of ∠ ABD and ∠DBC . Since they are equal, BD bisects the ∠ABC

Answer:

d>107

Step-by-step explanation:

I am sorry if you got this wrong..

Answer:

279 in.²

Step-by-step explanation:

square: 9 × 9 = 81

the 4 congruent triangles: 9 × 11 ÷ 2 = 49.5, 49.5 × 4 = 198

square + 4 congruent triangles = 81 + 198 = 279

Answer:

yess!!!

step-by-step explained.

......

Answer:

$1200 gross pay

Step-by-step explanation:

if you worked 40 hours normally and had 10 hours over time, that equation for the gross pay would be X = 20(40) + 30(10)

X = 20(40) + 30(10)

X = 800 + 300

X = 1200

Answer: $42

Step-by-step explanation:

Since the trampoline was originally priced at $100 but went on sale for 60%, the price paid will be:

= $100 - (60% × $100)

= $100 - (0.6 × $100)

= $100 - $60

= $40

Emmett bought the trampoline and then paid 5% sales tax, the total amount paid will be:

= $40 + (5% × $40)

= $40 + (0.05 × $40)

= $40 + $2.

= $42

She paid $42 in total.

Answer:

c I do believe good luck with the answer

Answer:

C is the answer. Hope it helps

Answer:

12,300

Step-by-step explanation:

I'll right this as a function to make it easier on me.

f(x) = 7500(1 + 0.8)^x

f(2) = 7500(1 + 0.8)^2

f(2) = 7500(1 + 0.64)

f(2) = 7500(1.64)

f(2) = 12300

Answer:

$8700

Step-by-step explanation:

0.08 x 2 yrs = 0.16

7500 x 0.16 =1200

7500 + 1200 = 8700

Answer:

The ball will strike the ground at time t = 21sec .

Answer:

solution in attachment

hope it helps

Answer:

5.76

Step-by-step explanation:

What is 12 percent (calculated percentage %) of number 48? Answer: 5.76.

Answer:

D. square root of 7 to the power of 3

R. b=6/8

Answer:

$13,640

Step-by-step explanation:

money that need to pay for the tuition for all four years

=$16,110×4

=$64,440

the money he had

=$45,800+$5,000

=$50,800

the difference

=$64,440-$50,800

=$13,640