Write an equation for the line in slope-intercept form.

Answer:

c

Step-by-step explanation:

the number of bacteria is introduced

The function B(x) = 70000(0.5)ˣ, where x represents the number of 4 hour periods, represents the amount of bacteria present after the antibiotic is introduced. Therefore, option D is the correct answer.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

In any situation where an amount grows or declines by a set percent every time period can be represented using an exponential function.  Since the amount of bacteria is reduced by half, or 50%, every 4 hours, this is exponential decay.

Exponential functions such as this are of the form

y = a(1+r)ˣ, where a represents the initial population, r is the percent of growth or decrease, and x is the number of time periods.  In this situation, the initial population, a, is 70000.  Since the number of bacteria decreases by half, r = -0.50.  This gives us

y = 70000(1+-0.50)ˣ, or y = 70000(0.50)ˣ.

In 24 hours, there are 6 4-hour periods.  This means x = 6; this gives us

y = 70000(0.50)⁶ = 1093.75.

Therefore, option D is the correct answer.

Learn more about the exponential function here:

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Answer:

2500 cups

Step-by-step explanation:

Let c = total cups

c*30% = green cups

c*.30 = 750

Divide each side by .30

.30c/.30 = 750/.30

c =2500

Answer:

D

Step-by-step explanation:

i took the test

The equivalent expressions of [tex](x^{6} )^{-3}[/tex] will be [tex](x )^{-18}[/tex].

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive the equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

The given expression is;

[tex](x^{6} )^{-3}[/tex]

Required to Determine the equivalent expression.

First, we need to evaluate the expression in the bracket:

Apply the following law of indices:

[tex](x^a)^b = x ^{ab}[/tex]

So:

[tex](x^{6} )^{-3}[/tex]

becomes

[tex](x )^{6 \times -3}\\\\[/tex]

[tex](x )^{-18}[/tex]

Hence: the equivalent expressions of [tex](x^{6} )^{-3}[/tex] will be [tex](x )^{-18}[/tex].

Learn more about expression here;

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Answer: 15/11

Step-by-step explanation:

Answer:

15 ÷ 11 as a fraction is 15/11. As a mixed number it is 1 4/11.

Step-by-step explanation:

Answer:

The potato is a root vegetable native to the Americas, a starchy tuber of the plant Solanum tuberosum, and the plant itself, a perennial in the family Solanaceae. Wild potato species, originating in modern day Peru, can be found throughout the Americas, from the United States to southern Chile.

Step-by-step explanation:

Answer:

160 ounces

Step-by-step explanation:

Answer: what is the question?

Step-by-step explanation:

Answer:

3x - 4

Step-by-step explanation:

The first, and last, step is to add like terms (4x and -x, 3 and -7), like so:

4x + 3 - x - 7

4x - x = 3x

3 - 7 = - 4

3x - 4

Answer:

3x2(4x – 3) + 1(4x – 3)

Step-by-step explanation:

Answer: y-intercept

Step-by-step explanation:

Answer:

(-1, 1 1/4) or (-1, 1.25)

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

Answer:

Remove 1 x tile and 3 unit tiles from each side

Step-by-step explanation:

technically you can do any of them, but I don't think that's what your teacher wants.

Answer: A

Step-by-step explanation:

[tex]V=\frac{l*w*h}{3}[/tex]

[tex]V=\frac{(15in)(15in)(19in)}{3} \\V=1425in^3[/tex]

Answer:

x = 4

y = 11

Step-by-step explanation:

You can make the equations 3x - 1 = 2x + 3

x = 4

y = 11

Answer: 101

Step-by-step explanation:

45 women total

17 women will not watch the game

So 33 people did not want to watch the game and 17 are women

33-17 = 16 men who won’t watch the game

So 40 men who will and 16 men who won’t equals 56 men and 45 women

56+45= 101

Answer:

14

Step-by-step explanation:

you add them all up and divide by how much there are

(10+11+12+13+14+15+16+17+18)=126

(126/9)=14

Answer:

14

Step-by-step explanation:

first you add them all up and then divide alll of them again

Answer:

9(4x+3)     :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

the first step in factorising is to look for any common factors.

27

and

36

are both multiples of

3

and

9

.

We use

9

because it is the highest common factor:

Divide

9

out of each term:

27+36x=9(3+4x)

The reverse process would be to use the distributive law to multiply each term in the bracket by

9

.

This will give us the original expression:

9(3+4x)=27+36x

Answer:

yall not all of the answers for these ones are on here. go to symbolab and type in the hyperbola like x^2/a^2-y^2/b^2=1 and look at where it intersects the axis. it'll get you the right answer

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The third graph aka the one that looks most like an X. It's right because Edge said so.

Assuming its y^2/6^2 - x^2/2^2 = 1 I repeat the answer is the third graph. C.

Answer:

A straight line dividng the data into two equal parts.

Step-by-step explanation:

A scatter plot is drawn by representing  the numbers with the dots on the specific points to interpret their values.The best line of fit for scatter plot data is a straight line. It divides the data  into two parts. Some points may lie above the  data and some below the data. Some points may lie on the line. All the points can also lie on the line and none of the points can also lie on the line.

Answer: the answer is approximately 45.6

Step-by-step explanation:

Answer:

Round to 2 decimal places

0.607 => 0.61

Hope this helps!

:)

Answer:

1 solution: x = 1 and y = 4

Hint

If we define x to be the value of one of the factors, since 1 + 2 + 3 + 4 + 5 ... + 10 = 11(5) = 55, the value of the other factor has to be 55-x.

To maximize P, you'd like to make x as close as possible to the vertex you found. What if you want to minimize P? Remember x must be an integer.

I hope this helps :)

Answer: A

Step-by-step explanation:

Answer:

I'm sorry what grade level is this

Answer:

A

Step-by-step explanation:

(2.5,39)

Answer:

(2.5, 39)

Person above me is correct. :)

Answer: 47,520

Step-by-step explanation: 36 times 40 times 33

Answer:

-4

Step-by-step explanation:

Since this has an equals sign and in both sides it can be divisible. So you take 5 and divide it on both sides to get -4

Answer:

B. b = (24 x 16) - 8

Step-by-step explanation:

I chose this answer because there are 24 boxes with 16 baseballs in each of them. Pedro only used 8 of these baseballs, which means he didn't use (24 x 16) - 8 balls.

If this answer is correct, please make me Brainliest!

Answer:

(1)x=-24

(2)Another pair of equivalent ratio is:

[tex]\dfrac{-64}{x+5}=8$ where $x=-13[/tex]

Step-by-step explanation:

Given the ratio:

[tex]\dfrac{-294}{x+10}=21[/tex]

Part 1: We determine the value of x.

[tex]\dfrac{-294}{x+10}=21\\$Cross multiply$\\21(x+10)=-294\\21x+210=-294\\$Collect like terms$\\21x=-294-210\\21x=-504\\$Divide both sides by 21$\\x=-24[/tex]

Part 2: We write another pair of equivalent ratios.

Let

[tex]\dfrac{-64}{x+5}=8\\$Cross multiply$\\8(x+5)=-64\\8x+40=-64\\$Collect like terms$\\8x=-64-40\\8x=-104\\$Divide both sides by 8$\\x=-13[/tex]

Answer:

First add

4 red + 3 green + 5 blue = 12

Then add the likelihood that you will choose a green or red

4 + 3 = 7

The answer is 7/12

Step-by-step explanation:

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