Ms. Dawson’s call did a science experiment. The class started out with 650 bacteria cells. The growth rate predicted was 4.5%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 30 h from the start of the experiment. Round to the nearest whole number.

Answers

Answer 1

Answer:

your slope would be 4.5.... so go up 4 and to the right 5. the y-intercept is 650 so that is where your line would start instead of at 0... hope this helped :)

Step-by-step explanation:

Answer 2

The exponential function gotten from the table is given by y = 650(1.045)ˣ

Exponential function

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multipliers.

Let y represent the bacteria population after x hours.

The class started out with 650 bacteria cells.

a = 650

Growth rate = 4.5%

b = 100% + 4.5% = 104.5% = 1.045

The exponential function gotten from the table is given by y = 650(1.045)ˣ

After 30 hours:

y = 650(1.045)³⁰ = 2434

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Related Questions

Find the perimeter of a quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3). Round your answer to the nearest hundredth when necessary.

Answers

Answer: the perimeter is 20

Step-by-step explanation:

Distance between C and D

Sqrt (-2-1)^2 + (1- -3)^2=

Sqrt -3^2 + 4^2=

Sqrt 25 = 5

Between D and E

Sqrt(5-2)^2+(0-4)^2=

Sqrt 25 = 5

Between E and F

Sqrt(1-5)^2+(-3-0)^2=

Sqrt 25=5

It is a square

The value of the perimeter of a quadrilateral is, 20 units

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

Vertices are,

C (- 2, 1), D (2, 4), E (5, 0), and F (1, - 3).

Since, The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Hence, We get;

CD = √(- 2 - 2)² + (1 - 4)²

CD = √16 + 9

CD = √25

CD = 5

DE = √( 2 - 5)² + (4 - 0)²

DE = √9 + 16

DE = √25

DE = 5

EF = √(5 - 1)² + (0 + 3)²

EF = √16 + 9

EF = √25

EF = 5

FC = √(- 2 - 1)² + (1 + 3)²

FC = √9 + 16

FC = 5

Thus, The value of the perimeter of a quadrilateral is,

CD + DE + EF + FC

5 + 5 + 5 + 5

20 units

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Today, 6 friends went out for lunch. Their total bill was $27.60, including tax and gratuity. They decided to split the bill equally and each paid with a $10 bill. How much money will each person get back?

Answers

Step-by-step explanation:

Right, okay, so this is a bit of a weird one. Let's go step by step.

"Today, 6 friends went out for lunch." = The number 6 is gonna be in our equation somewhere.

"Their total bill was $27.60" = so is the number 27.6

"They decided to split the bill equally" = 27.6 "split equally" (aka divided by) 6 friends is 4.6

"each paid with a $10 bill" = This is where it gets a lil weird. So, if they divided the bill among them, none of their amounts are gonna be anywhere near ten dollars. This is one of those questions that wouldn't really happen in real life. People would probably use fives instead, but whatever. So a number we'll be using for something is 10.

"How much money will each person get back?" = So we have to find the amount they all paid (10) minus the amount each one had to pay (4.6).

To put it all into a full equation...

10 - ( 27.6 / 6 )

Divide.

10 - 4.6

Subtract.

5.4

Put back into money form.

$5.40

Answer:

Each person will get back $5.40.

Answer:

if each paid a $10 bill, in total they paid $60 (cuz 10 x 6)

60 - 27.60 = 32.4

32.4/6 = 5.4 (divide the change between 6 people)

Each person will get $5.40 back.

hope it helps :)

On a spinner I have a 0.1% chance of getting a 5. How many times do I need to spin to get 5?

Answers

Answer:

[tex]\frac{1}{10} * \frac{1}{100} = \frac{1}{1000}[/tex]

1000 times

Step-by-step explanation:

Answer:

0.1% = 1 spin then

100% = ( 100×1) ÷0.1 = 1000

we are using 100% because its a sure bet it will happen but not logically

the answer is 1000

whats the correct ordered pair for, x+y=12 and -x=-y-10

Answers

i'm doing this as a system, ok?

x + y = 12

- x = - y - 10

x + y = 12

-x + y = -10

2y = 2

y = 1

x + 1 = 12

x = 11

so, the ordered pair is (11, 1) -> remember that the x always comes first

hope it helps :)

Answer:yes yes culo Rotox (b

Step-by-step explanation: pro gard1bas x12x14x20¿142

Someone help me please

Answers

Answer:

16 cows

Step-by-step explanation:

i just guessed and checked using

4*cow heads + 2 * geese heads

i got 16 cows and 47 geese

$60 is shared between Ali, Ben and Carol in the ratio of 5 :3 : Z How much does Ben get?

Answers

Answer:

the answer is 100:60:40 hope it helps

I don't understand this at all ( PICTURE ) please help with a simple explanation if you can. 15 Points and Marking Brainliest, Reporting fakes.

Answers

I hope u all know these are a series of bot accounts

Vectors a = (1,0) and b= (1,1) are given. For what λ vector a + λb is perpendicular to vector a?

Answers

Answer:

-1

Step-by-step explanation:

Vector a=(1,0) if visualized as a line has points (0,0) and (1,0). This means the line is horizontal and has equation y=0.

This means we are looking for a vertical line.

Instead of lambda, I'm going to use u.

So we want a+ub=(1,0)+u(1,1). to vertical. If we visualize this as a line with points (0,0) and (1+u,u). We would need u=-1 so this would be vertical.

So vectors a=(1,0) and a+ub=(1,0)+u(1,1) are perpendicular for u=-1.

So we are saying vectors (1,0) and (0,-1) are perpendicular. If you draw these, you can get a visual confirmation.

The value of λ is -1 and is perpendicular to vector a.

What is Vector?

A vector is a number or phenomena with two distinct properties: magnitude and direction. The term can also refer to a quantity's mathematical or geometrical representation. In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.

We have,

Vector a = (1, 0) and b = (1, 1).

Here the vector is visualized as line is horizontal and has equation y=0.

Now, we have a + λb is perpendicular to vector a.

So, a + λb = (1, 0) + λ(1, 1)

                 = (1 + λ, 1)

Now, to get the vertical component we must have λ= -1.

Then, a(1, 0) and a+λb= (1,0)+ λ(1, ) are perpendicular to λ=-1.

Learn more about Vector here:

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find the value or x.
-
a. 5
b. 11
c. 25
d. 31

Answers

11 because it is bigger than EB and smaller then DF

please help ASAP geometry

Answers

Answer:

A' (-6,12)

B' (9,9)

C' (-3,0)

Answered by GAUTHMATH

1+1×2+3+5×8÷3+2/3×8+1+1+4=?

Answers

Answer:

92/3

Step-by-step explanation:

PEMDAS

(Parentheses Exponents Multiplication Division Addition Subtraction)

No Parentheses

No Exponents

Multiplication:

1+ 2 +3+ 40 ÷3+ 16/3 +1+1+4

Division:

1+2+3+ 40/3 +16/3+1+1+4

Addition:

12 + 56/3 = 92/3

No Subtraction

**Assuming "/" indicates a fraction and "÷" indicates division (2/3 × 8 is different than 2 ÷ 3 × 8)

hlpppppppppppppppppppppppppppppppppp

Answers

Answer:

4th quadrant

Step-by-step explanation:

quadrant 4 is (+,-)

Answer:

It is the 4th quadrant!

Step-by-step explanation:

Hope it helps! ;D

Find the area of the shaded region.

A. 160 in²
B. 160.5 in²
C. 96 in²
D. 192 in²

Answers

Answer:

C. 96 in²

Step-by-step explanation:

24x8=192

1/2 x24x8= 96

192-96=96

Eve got home from school at 2:20 P.M. And played video games for 17 minutes. Then she helped clean the kitchen for 1 hour and 1 minute and spent 1 hour and 7 minutes finishing her homework. What time was it when Eve finished her homework?

Answers

Answer:

4 :45 pm

Step-by-step explanation:

2 : 20 + 17 minutes = 2:37

2:37 + 1hr 1 minute  = 3 : 38

3 : 38 + 1 hr 7 = 4 :45 pm

I am really bad at algebra please help!!
I need it now please with explanation ☺️​

Answers

Answer:

E. 7x

Step-by-step explanation:

3x plus 4x is equal to 7x because they both have the same terms and when added cannot the X of 3x and 4x cannot be joined together .

So they remain the same.

(e) 12x

(f) 12x²

(g) 12x²

(h) 1x

(I) 2x²

(J) 2x²

(K) -10x

(L) -20x

(M) 6x²

(N) 20x²

(O) -15x²

(P) -12x³

Your answers were wrong so i did all of them

Quick tip the power comes only when you multiply and not when you add

For example x + x = 2x

x × x = x²

All the answers

Must click thanks and mark brainliest

what is this please tell answer​

Answers

Answer:

x=6, y=4, z=8

(c) 6

I hope this is helpful!

Help please anyoneee

Answers

Answer:

here's the answer to your question

6 less than the product of 5 and a number
A. 5-6n
B. 6+5n
C. 5(n - 6)
D. 5n-6

Answers

Answer:

D.

Step-by-step explanation:

5 times a number is 5n. We need to subtract 6 from that, so we have 5n-6 for any value n.

Answer:

D. 5n - 6

Step-by-step explanation:

6 less means -6

The product of 5 and a number means 5 x n which is the same as 5n

And it wants us to subtract 6 from 5n

so we would write it as...

5n - 6

5. Which of the following pairs of operations solve the equation 3x + 5 = 17?
a. subtract 5 then divide by 3
b. divide by 3 then subtract 5
c. add five then multiply by 3
d. multiply by 3 then add five

Answers

Answer:

a

Step-by-step explanation:

3x+5=17

3x=17-5

3x=12

x=4

Which function shows a fabric with a price of $1.25 per square yard?

A table showing Price of Fleece with five columns and two rows. The first row, Square Yards, has the entries, 1, 2, 3, 4. The second row, Price, has the entries, $1.25, $2.00, $2.75, $3.50.
A table showing Price of Fleece with five columns and two rows. The first row, Square Yards, has the entries, 1, 2, 3, 4. The second row, Price, has the entries, $0.25, $1.25, $2.25, $3.25.
A coordinate plane showing Price of Fleece. The x-axis shows Number of Square Yards and the y-axis shows Price in dollars. A line starts at (0, 0) and passes through (5, 4) and ends (10, 8).
A coordinate plane showing Price of Fleece. The x-axis shows Number of Square Yards and the y-axis shows Price in dollars. A line starts at (0, 0) and passes through (4, 5) and ends (8, 10).

Answers

Answer:

D

Step-by-step explanation:

Took the test

Brainliest pls

Answer:

D

Step-by-step explanation:

E 2020

PLEAS HELP ASAP Fill in the missing probabilities on your paper and then answer the questions below. Make sure to type the ZERO before the decimal point. (example: 0.3 rather than .3) Give exact answers - do not round. please please please please help

Answers

This question is solved using probability concepts. We derive the probabilities from the tree given in the exercise, and with this, added to the use of conditional probability, we get the desired probabilities.

The probabilities are:

P(A) = 0.7, P(A and B) = 0.14, P(B) = 0.26, P(A or B) = 0.82, P(not B given A) = 0.8

Conditional probability:

In this problem, conditional probability concepts are used, and for this, we have that:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

P(A)

At the first node, we have that:

P(A) = 0.7

P(A and B):

From the first node, we have that [tex]P(A) = 0.7[/tex]

From A to B, there is 0.2, which means that [tex]P(B|A) = 0.2[/tex]

Thus

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]0.2 = \frac{P(A \cap B)}{0.7}[/tex]

[tex]P(A \cap B) = 0.7*0.2 = 0.14[/tex]

So

P(A and B) = 0.14

P(B):

P(B) = P(A and B) + P(not A and B).

P(not A) = 0.3, P(B|not A) = 0.4, then:

[tex]P(not A and B) = 0.3*0.4 = 0.12[/tex]

P(B) = 0.14 + 0.12 = 0.26

P(A or B)

We have that:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

We already have the three of them, so just replace:

[tex]P(A \cup B) = 0.7 + 0.26 - 0.14 = 0.82[/tex]

Then

P(A or B) = 0.82

P(not B given A)

If A happens, either B happens, or it does not. That is:

P(B|A) + P(not B|A) = 1

Since P(B|A) = 0.2

P(not B|A) = 1 - 0.2 = 0.8

Then

P(not B given A) = 0.8

To take another look at conditional probability, you can check https://brainly.com/question/24161830

Asha found that a vertical line intersects the graph of x = StartAbsoluteValue y EndAbsoluteValue at two points. What can Asha conclude about x = StartAbsoluteValue y EndAbsoluteValue?
It is a function of x but not a relation.
It is a relation but not a function of x.
It is both a function of x and a relation.
It is neither a function of x nor a relation.

Answers

Answer:

B

Step-by-step explanation:

Answer:

B) It is a relation but not a function of X

Explanation:

What Asha did was the vertical line test. This is a test to see if something is a function or not. Since a function can only have one output per input, if the vertical line intersects twice, it is not a function. However it is still a relation. A relation doesn't have to fit the rule that one output only has one input.

In a right triangle, two sides are 12 and 13. Find the measure of the third side. Consider all cases

Answers

Answer:

Case 1

12 and 13 are legs, then find the hypotenuse.

c = [tex]\sqrt{12^2+13^2} = \sqrt{313}[/tex] ≈ 17.69

Case 2

13 is hypotenuse, 12 is a leg, find the missing leg.

b = [tex]\sqrt{13^2-12^2} = \sqrt{25} = 5[/tex]

Answer:

Solution given:

Case 1:

if base=12

hypotenuse=13

perpendicular=??

By using Pythagoras law

hypotenuse²=perpendicular²+base²

13²=perpendicular ²+12²

perpendicular ²=13²-12²

perpendicular=[tex]\sqrt{13²-12²}=\sqrt{25}=5[/tex]units

Case:2:

Case 1:

if base=12

hypotenuse=13

perpendicular=??

By using Pythagoras law

hypotenuse²=perpendicular²+base²

13²=perpendicular ²+12²

perpendicular ²=13²-12²

perpendicular=[tex]\sqrt{13²-12²}=\sqrt{25}=\bold{\large{5}}[/tex]units

Case:2:

if base=12

hypotenuse=??

perpendicular=13

By using Pythagoras law

hypotenuse²=perpendicular²+base²

hypotenuse²=13 ²+12²

hypotenuse² ²=13²+12²

hypotenuse²=[tex]\sqrt{13²+12²}=\sqrt{313}=\bold{\large{17.7}}[/tex]units

a marathon runner can jog one mile in 7.5 minutes. how many miles can the runner complete in 3.5 hours

Answers

1 hour = 60 minutes

3.5 hours x 60 = 210 minutes

210 minutes / 7.5 minutes per mile = 28 miles

Answer: 28 miles

18) Both x and y coordinates of a point in quadrant 1 are negative.

Answers

Answer:

false

Step-by-step explanation:

the first quadrant of a coordinate plane is the upper right corner

this means that both x and y coordinates of a point would have to be positive

therefore it's false

hope this helps!

a grocer mixes 20.25 kg of green tea with 35.10 kg of ordinary tea and repacks all tea in 45 packets of equal weight. how much does each packet weigh?

Answers

Answer:

1.23 kg

Step-by-step explanation:

(20.25 kg + 35.10 kg) : 45 = 1.23 kg

Express (root 19 - root 7)(root 19 + root 7) in simplest form.

Answers

Answer

root 354

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(√19 -√7)(√19 +√7)

( a +b)( a -b) = a²-b²

(√19)² -(√7)² = 19 -7 = 12

Write a function rule for the table. (Help please)
is it a,b,c or d

Answers

c. f(x)=x+1 because everytime there is 1 added to the original value

please help
solve for u
5u^2=-3u+2

Answers

U=-2/5, 1, hope this helps!

A box contains 28 balls of which 7 are red, 7 are blue, 14 are green.
If a ball is drawn at random, find the probability that it is neither blue nor red.

Answers

Answer:

1 /4

Step-by-step explanation:

Given that :

Number of red = 7

Number of Blue = 7

Number of green = 14

Total number of balls = 28

Probability of picking a ball that is neither red nor green.

Probability = required outcome / Total possible outcomes

P(neither red nor green) = P(picking a blue ball) = 7 / 28 = 1/4

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