In the figure angle 2 and angle 3 are
A. Congruent
B. Supplementary
C. Complementary
D. None of the above

Answer:

A) 1600 bacteria

B) 12800 bacteria

Step-by-step explanation:

We are told that the bacteria doubles every 4 hours.

Now, if the amount of bacteria is X, it means that for 4 hours, it becomes 2X and after 8 hours it becomes 2(2X)

For 12 hours, it becomes; 2 × (2(2X))

This means that for 12 hours, it becomes 2 × (2(2X)) = 8X

A) Since the lab starts with 200 bacteria, after 12 hours, it has;

N_12 = 8 × 200.

N_12 = 1600 bacteria

B) From above, we have seen that after t hours, where t is a multiple of 4, the number of bacteria is;

N_t = [2^(¼t - 1)] × (2X)

Where X is initial amount of bacteria.

Thus, after a day which is 24 hours, we have;

N_24 = 2^(¼(24) - 1) × 2X

N_24 = 2^(5) × 2X

Where X is 200, N_24 = 32 × 2(200) = 12800 bacteria

Answer:

The coordinates of B are (-11,7)

The coordinates of C are (11,7)

Step-by-step explanation:

Reflection of Points

Given a point (x,y), it can be reflected in several ways. Two of the most-used are reflection over the x-axis and reflection over the y-axis.

When the point is reflected over the x-axis, the x-coordinate is unchanged, and the y-coordinate is inverted: (x,y) -> (x,-y).

When the point is reflected over the y-axis, the y-coordinate is unchanged, and the x-coordinate is inverted: (x,y) -> (-x,y).

Point A is located at (-11,-7). It's reflected over the x-axis to form point B whose coordinates are (-11,7).

Then, point B is reflected over the y-axis to form point C with coordinates (11,7).

The coordinates of B are (-11,7)

The coordinates of C are (11,7)

Neil's new interest rate after purchasing 3 points would be 7. 95%. The closest option is B. 4.575%.

To calculate the new interest rate after purchasing points, we need to know the cost of one point and the number of points purchased.

One point typically costs 1% of the mortgage amount, so three points would cost 3% of the mortgage amount. The cost of the points is usually paid upfront at closing.

Assuming Neil's mortgage amount is $100,000, the cost of 3 points would be:

3% x $100,000 = $3,000

To calculate the new interest rate, we need to add the cost of the points to the original interest rate and then recalculate it as a percentage:

New rate = Original rate + (Cost of points / Mortgage amount)

New rate = 4.95% + ($3,000 / $100,000)

New rate = 4.95% + 3%

New rate = 7.95%

So, Neil's new interest rate after purchasing 3 points would be 7. 95%. The closest option is B. 4.575%.

To know more about interest rates follow

https://brainly.com/question/16749129

#SPJ7

Answer:1144.2 for question 5

Step-by-step explanation:

Answer:

y=6x^2-30x-84

Step-by-step explanation:

Answer:Original Conditional: P → Q = If it is raining, then the driveway is wet. The inverse of a conditional negates both the hypothesis and the conclusion. Inverse: ∼ P → ∼ Q = If it is not raining, then the driveway is not wet.

Step-by-step explanation:

Answer:

21.375

PS:

I could get my calculator to make the product as a fraction if you want.

Answer:

A

Explanation

6-1=5

3-3=0

0+5=5

The diagram of the pentagon is missing, so i have attached it.

Answer:

|AE| = 130 m

|DE| = 150 m

Perimeter of pentagon = 720 m

Step-by-step explanation:

From the diagram, we can find AE from pythagoras theorem;

|AE| = √(|AA'|² + 50²)

Where AA' is the length from A to the perpendicular angle.

Now, AB = 150, and A'B is parallel to 30 m. Thus, A'B = 30

AA' = AB - A'B = 150 - 30

AA' = 120

Thus;

|AE| = √(120² + 50²)

|AE| = √(14400 + 2500)

|AE| = √16900

|AE| = 130

Similarly,

|DE| = √(|DD'|² + |ED'|²)

ED' = BC - 50

ED' = 140 - 50

ED' = 90

Also, DD' is parallel to AA' and is = 120

Thus;

|DE| = √(120² + 90²)

|DE| = √22500

|DE| = 150

Perimeter of pentagon = 150 + 130 + 150 + 150 + 140 = 720

Answer:

2(10-x)+12

Step-by-step explanation:

Answer:

(-14,-6)

Step-by-step explanation:

Answer: x = {5, 9} ; (0,45)

Answer:

$12.50

Step-by-step explanation:

20 - 7.50=12.50

Answer:$12.5

Step-by-step explanation:

calculator

Answer:

A-both works

Step-by-step explanation:

one can simply sub into the second equation from the first step's one and remove an unknown, making it easy to solve

Answer:

36.67 ..sorry if I'm wrong

Answer:

3x-10+25+x+15=180

4x+30=180

4x=180-30

4x=150

x=37.5

Answer:

37.5555

Step-by-step explanation:

Answer:

y = 936x + 3742

Step-by-step explanation:

If it is a linear model, then we should have a slope and y-intercept with the equation representing the model as;

y = mx + c

where m is the slope and c is the y-intercept

Thus, we have for the slope;

(8422-3742)/(2015-21010) = 4680/5 = 936

So the equation will be;

y = 936x + c

To get c , we can use the years after 2010 which is 2015 in this case

8422 = 936(5) + c

c = 8422- 4680

c = 3742

So the linear model is;

y = 936x + 3742

Answer:

5.02

Step-by-step explanation:

Answer:

36.75 and 1/6 ( 6 accounts equally distributed )

Step-by-step explanation:

Number of Red counters to be sketched = 9

Number of Yellow counters = 4

The number of Zero pairs that can be made = 36.75

When you remove the Zero pairs the number of counters you would have = 6 accounts ie. 1/6

Answer:

Filling the table;

left-hand side from top to bottom, empty spaces are;

500 pesos

20 pesos

60 pesos

On right hand side;

the only space is 24 dollars

Step-by-step explanation:

Here, we want to complete the given table

The key to complete the table is knowing the exchange rate

Since 250 dollars have 5,000 pesos

what this mean is that 1 dollars is 5000/250 = 20 pesos

And 1 pesos = 250/5000 = 0.05 dollars

25 dollars in pesos will be;

25 * 20 = 500 pesos

1 dollars in pesos is 20 pesos

3 dollars in pesos will be 3 * 20 = 60 pesos

480 pesos in dollars will be 480 * 0.05 = 24 dollars

Answer:

He saves $1.95. Instead of paying $19.50, He pays $17.55

Step-by-step explanation:

$19.50 ×10/100 = $1.95

That is the discount of the jeans. Taking

$19.50 - $1.95 = $17.55

The brand that the store should eliminate out of the 4 given brands using the data in the table is; Brand C

To find the brand that the store should eliminate we need to find the percentage of sold items that were returned and pick the highest percentage as the brand the store should eliminate.

Brand A percentage = 33/636 * 100% = 5.19%

Brand B percentage = 15/492 = 3.05%

Brand C percentage = 29/362 * 100% = 8.01 %

Brand D percentage = 32/767 * 100% = 4.17%

Brand C has the highest percentage and as such it is the brand that should be eliminated.

Read more about Percentage Problems at; https://brainly.com/question/843074

#SPJ5

Answer:13.7

Step-by-step explanation:

The question is asking us to build an algebraic model of this question, to do this, we need to use the slope intercept form.

Let's first identify the known data. We know that a pizza with two toppings is 9.95. In addition, we know that a topping itself is 1.25. We need to find the y intercept first in order to solve this equation, therefore we need to find how much a pizza his without the two toppings. So, we do 1.25(2)=2.5 and subtract it from 9.95. 9.95-2.5= 7.45. Now, this is our y intercept, because this will always stay the same and this is where we always start off. The slope itself however will be 1.25x, because x is the amount of toppings. So, as of now, we have constructed our equation

y=1.25x+7.45

We are looking to see how much a pizza is with 5 toppings, so we plug 5 into x

y=1.25(5)+7.45= 13.7

Answer:

a = 17

Step-by-step exlanation:

42 - 25 = 17

25 + 17 = 42

Answer:

a=17

Step-by-step explanation:

25 + a = 42

-25         -25

a=17

Hope this helps!

Answer:

A

Each side must intersect exactly two others sides but only at their endpoints. The sides must be noncollinear and have a common endpoint.

Answer:

x=143

Step-by-step explanation:

Using the rule vertical angles then the rule of corresponding angles, you can see that they are congruent.

Answer:I think it’s 7/20

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation: