An antibiotic kills 60% of bacteria in a sample of 100,000 each day. The equation P2 - 100,000(0.4) represents the
population, Pı, after d days. Four days after introducing the antibiotic to the first sample, a scientist introduces the same
antibiotic to a second population, P2. The number of bacteria after d days in the second population is represented by the
equation P2 = 100,000(04) 0-4. Which equation is equivalent to pz?
а
O P2 - 2,560(0.4)
O P2 - 99,744(0.4)
O 02 - 100,256(0.4)
O P2 - 3,906,250(0.4)

Answer:

75 seconds to run 180 meters

Step-by-step explanation:

(180m) / (2.4m/s) = 75 seconds

75 seconds to run 180 meters, but if we take into consideration the initial 39 seconds, then the total time it took to run (75s + 39s) was 114 seconds.

The question didn't explicitly ask the total time it took, but the time it took to run 180 meters.

Answer:

increasing

increasing

decreasing

increasing

decreasing

neither

Step-by-step explanation:

"increasing" just means the graph is going up from left to right.

"decreasing" means going down from left to right.

"neither increasing nor decreasing" means flat, horizontal, not going up or down.

Imagine you are walking on the x-axis, starting on the left, the numbers on the axis are like house addresses as you walk down the street. The column that says "interval" is saying where you are looking at along the axis.

-7 < x < -3 means from -7 to -3 on the x-axis. That piece of the curve IS going up from left to right. From -3 to -1 is also going up, so its increasing. From -1 to 1 the graph goes down, that's decreasing. Then it goes up again, then down, then flat. (incr, decr, neither)

Any slanted line or curve can be seen as going up or going down, depending on which direction you are going. But in this case only consider left to right ONLY. Then you can tell if its increasing or decreasing.

Answer:

Only iris is correct in equation sq. z = 9/25

Answer:

please where's the diagram

Answer:

9c=2n

Step-by-step explanation:

6n-9c=4n.

9c=2n

n = 9/2c, my bad for the wrong answer at first.

Answer:

Its 58

Step-by-step explanation:

2+2+2+2+2+4+4+4+6+10+10=58 but the closest number to it is 56

Answer:

[tex]3 \frac{3}{4} - 2 \frac{1}{5} \\ \\ \frac{15}{4 } - \frac{11}{5} \\ \\ \frac{75}{20} - \frac{44}{20} \\ \\ = \frac{31}{20} = 1.55 = 1 \frac{11}{20} [/tex]

Answer:

see explanation

Step-by-step explanation:

using the identities

tanx = [tex]\frac{sinx}{cosx}[/tex] , cscx = [tex]\frac{1}{sinx}[/tex] , secx = [tex]\frac{1}{cosx}[/tex]

consider left side

tanx × cscx

= [tex]\frac{sinx}{cosx}[/tex] × [tex]\frac{1}{sinx}[/tex] ( cancel sinx on numerator/ denominator )

= [tex]\frac{1}{cosx}[/tex] × 1

= secx = right side

Answer:

Class B has much better scores than class A

Step-by-step explanation:

VW = 6

hope it helps...!!!

Answer:

Answer given in the image below

I hope my answers helps you.

Answer:

1.28 in³

Step-by-step explanation:

Volume of Amy's cone

Volume of Don's bowl

Difference

Answer:

So obviously in the context of this question you are meant to find the volume. Since Don's bowl already has a given value of 5 cubic inches we will use that same unit when calculating amy's ice cream cone volume.

Step-by-step explanation:

You are given that amy has a cone and need to find the volume. The formula for the volume of a cone is (V=πr^2*h/3).

π = pi or 3.14......

r = radius (in this case the opening/ diameter of the ice cream cone is given as 2 inches and the radius is half of diameter so d/2 = r (r=1)

h = height (in this case it is given that height is 6 inches)

Remember all variable units must be kept the same so in this case all units are inches.

Now Plug in and solve V = [tex]3.14*(1)^{2} *\frac{(6)}{3}[/tex]

Remember order of operations / PEMDAS (in this case, do exponent first then just multiply from left to right and at the end divide that number by 3.

V= 6.28 cubic inches (since all our units were inches and we are finding cubic volume of a cone)

Now Amy volume of cone - Don volume of bowl = your answer. 6.28-5 = 1.28 cubic inches

Answer:

a) 240 grams

b) 360 grams

c) 2 packs

Step-by-step explanation:

a) 1 biscuit = 4 grams of flour

60 biscuits = 240 grams of flour

Conclusion, 240 grams of flour is needed for 60 biscuits.

b) 240×3÷2 = 360 grams of butter

c) 360÷250

= 1.44

≈ 2 packs

Hope this helps =)

Answer:

3/2

Step-by-step explanation:

To find the slope, choose two points.

For example, choose (2, 5) and (4, 8).

Now find the difference between the y-coordinates.

8 - 5 = 3

Find the difference between the x-coordinates.

4 - 2 = 2

Divide the difference in y by the difference in x. That is the slope.

slope = 3/2

Answer:

14/10 or 1 2/5

Step-by-step explanation:

Hey there!

In order to simplify this expression, we need to add the numerators and not the denominator since they are the same

14/10 is what you will get or this is also 1 2/5

Answer:

A.

[tex]1 \frac{2}{5} [/tex]

Explanation:

6/10 + 8/ 10 = 7/5

[tex] \frac{6}{10} + \frac{8}{10} = \frac{6 + 8}{10} = \frac{14}{10} = \frac{7}{5} = 1 \frac{2}{5} [/tex]

hope this helps.

Answer:

Eu não entendi, porque se for pergunta de matemática, 415-420 dá um numero negativo que seria -5

Step-by-step explanation:

pense em 420 e tire 415 , simples

Answer:

He is right

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Based on my knowledge, thast what i think it is, but im not sure

Answer:

14

Step-by-step explanation:

101.4^0.5 = 10.0697 etc

it says estimate so I'm going to round that to 10

6.43^0 Anything with an exponent of 0 = 1

7.99^(2/3) = 3.9966 etc you can round that to 4

Put in the values:

10 + 1 × 4

Use PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

We have to multiply 1 × 4 which is 4

We're left with 10 + 4 which is 14

Answer:

14

Step-by-step explanation:

[tex]\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23}[/tex]

[tex]\begin{aligned}\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23} & = \sf \sqrt{100} +1 \times8^{\frac23}\\\sf & = \sf 10 + (8^{\frac13})^2\\& = \sf 10 + (2)^2\\& = \sf 10 + 4\\& = \sf 14\end{aligned}[/tex]

Find equation of old line first

Equation in slope intercept form

Translated 4units left(x+4)

Translated 6 units up(y intercept +6)

Put it.

Answer:

  y = -3x -2

Step-by-step explanation:

The equation of the given line, with slope -3 and y-intercept 4, can be written in slope-intercept form as ...

  y = -3x +4

When the line is translated by (h, k), it can be written as ...

  (y -k) = -3(x -h) +4

__

Here, we want to translate the line -4 in the x-direction and 6 in the y-direction. That is, (h, k) = (-4, 6). Using these values in the above equation, we have ...

  y -6 = -3(x -(-4)) +4

  y = -3x -12 +4 +6 . . . . simplify, add 6

  y = -3x -2

__

The attached graph shows the original line (red) with its y-intercept, and the translated line (green) with that y-intercept moved 4 units left and 6 units up.

Answer:

through lengthy mafs, your answer should be 307 mi (wrong somehow)

Step-by-step explanation:

if you want an explanation, please, dont be afraid to comment ;)

(to other people who look this up the answer is actually 318 i dont know, but i got it wrong

Answer: 90

Step-by-step explanation:

add all numbers up:

82+85+89+94+100=450

divide by amount of numbers

450/5=90

Answer:

4

Step-by-step explanation:

gradient = diffrence in y / diffrence in x

= 4-0/5-4

4

Answer:

x + x-1 + x-2 + x-3 =54.

x-1

Answer:

15

Step-by-step explanation:

Let the consecutive numbers be x, x + 1, x + 2, x + 3

==========

Greatest of the 4 integers:

Step-by-step explanation:

Answer:

[tex]x=\pm\frac{9}{2}[/tex]

Step-by-step explanation:

I assume you mean [tex]4x^2-81=0[/tex]:

[tex]4x^2-81=0\\(2x-9)(2x+9)=0\\x=\frac{9}{2},\:x=-\frac{9}{2}\\x=\pm\frac{9}{2}[/tex]

We were able to work quickly here since the original left-side expression was a difference of squares.

Answer:

Step-by-step explanation:

4x^2 - 81 = 0

(2x - 9)(2x + 9) = 0

x = -9/2, 9/2

If the largest dimension of the pendant is 10 cm wide then the greatest length will be 5 cm. Then the correct option is C.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

A designer is adding a pendant to a jewelry collection.

The shape of the pendant can be defined by the equation

[tex]\rm y = \dfrac{1}{20}\ x^2[/tex]

If the largest dimension of the pendant is 10 cm wide then the greatest length will be

[tex]\rm y = \dfrac{1}{20}\ (10)^2\\\\\\\rm y = \dfrac{1}{20}\ 100\\\\\\\rm y = 5[/tex]

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

1.25 cm

Step-by-step explanation:

[tex]if\ \alpha < 3[/tex]

[tex]f(\alpha )=3\alpha[/tex]

[tex]if\ x\ \geqslant 3[/tex]

[tex]f(x)=2x[/tex]

[tex]Sin\ you\ get\ the[/tex]

[tex]yoiclure\ on\ the[/tex]

[tex]right.[/tex]

I hope this helps you

:)

The choice that matches the graph of the function as is defined to us is: Graph A.

A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable).

We are given a function f(x) as:

f(x)=   2x    if x < 3 and 4 if  x ≥ 3

This means that in the region (-∞,3) the graph of a function is a straight line that passes through the origin and has a open circle at x=3. and in the region [3,∞) the graph is a straight horizontal line i.e. y=4.

Hence, the graph of this function is: Graph A.

Learn more about functions, click;

https://brainly.com/question/29657983

#SPJ7

Answer:

4th option

Step-by-step explanation:

Remember the Quotient Rule:

[tex]\frac{x^{m} }{x^{n} } =x^{m-n}[/tex]

6-2 = 4

So it is the last option