Give the domain and range of each relation. Tell whether the relation is a function. Explain.

Answer:

a

Step-by-step explanation:

15*20%=3

15-3=12

Answer: The population after 3 hours is 13.9 mill.

Step-by-step explanation:

When we have an exponential with:

A  = initial population.

r = constant relative growth rate:

t = time.

The function that models this is:

P(t) = A*e^(k*t)

In this case we know that:

A = 3.9 mill.

r = 0.4225 1.

Then the function that models the population of this yeast cell is:

P(t) = (3.9 mill)*e^(0.4225*t)

where t represents the time in hours.

Then if we want to know the population after 3 hours, we should replace t by 3.

P(3) = (3.9 mill)*e^(0.4225*3) = 13.85 mill.

And we want to round our answer to one decimal place, then we must look at the second decimal place, we can see that is a 5, so we should round up.

The population after 3 hours is 13.9 mill.

The exponential function is often used to model the growth or decay of a population

The population size of the yeast cell after 3 hours is 7.9 million

The given parameters are:

[tex]\mathbf{a = 3.9m}[/tex] --- initial number of cells

[tex]\mathbf{r = 0.4225/hr}[/tex] --- rate

The nth term of an exponential function is:

[tex]\mathbf{f(n) = a(1 + r)^{n-1}}[/tex]

After 3 hours; n = 3

So, we have:

[tex]\mathbf{f(3) = a(1 + r)^{3-1}}[/tex]

Substitute values for a and r

[tex]\mathbf{f(3) = 3.9(1 + 0.4225)^{3-1}}[/tex]

[tex]\mathbf{f(3) = 3.9(1 + 0.4225)^{2}}[/tex]

[tex]\mathbf{f(3) = 3.9 \times (1.4225)^{2}}[/tex]

[tex]\mathbf{f(3) = 7.9}[/tex]

Hence, the population size of the yeast cell after 3 hours is 7.9 million

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Answer:

over one to the right, up six

The reflection of the point (1,6) across the x-axis is (1,-6).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

A figure's mirror image in the axis or plane of reflection is its image by reflection.

Given that the coordinate is (1,6). The reflection of the coordinates across the x-axis will be,

R(x₁ , y₁) ⇒ R(x₁,-y₁)

R(1,6) ⇒ R( 1,-6)

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Answer:

Step-by-step explanation:

bro im out n can come scoop

Answer:

 (2.5 x 10^10) x (3.5 x 10^-7)     <--- When multiplying, numbers can be arranged in any order.

=  (2.5 x 3.5) x (10^10 x 10^-7)     <--- When you multiply numbers with the same base, add their exponents.

=  8.75 x 10^3

Step-by-step explanation:

Answer:

[tex] - \frac{3}{2} [/tex]

Step-by-step explanation:

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

Using the formula above,

slope of line

[tex] = \frac{1 - ( - 14)}{ - 3 - 7} \\ = \frac{1 + 14}{ - 10} \\ = \frac{15}{ - 10} \\ = - \frac{3}{2} [/tex]

Answer:

y=-1/10 x - 41/10

Step-by-step explanation:

slope: y2-y1 / x2-x1 = -5-(-4) /  9-(-1) = -1/10

y= -1/10 x +b, substitute (-1,-4) to solve b

-4=-1/10 (-1) +b

b=-41/10

Answer:

2

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Write the number in exponential form with the base of 7

[tex]\sqrt{7^{2} }[/tex]

Reduce the index of the radical and exponent with 2

7

Solution

7

Answer:

970 feet is the difference between 670 feet above sea level and 300 feet below sea level.

Step-by-step explanation:

670-(-300)

970 feet

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The value of 25×8.5 is less than 250. The correct option is B.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The value of 25×8.5 is needed to be calculated in order to know if the product is more than 250 or not. Therefore, the value of the 25×8.5 can be calculated as,

25×8.5

= 25 × (85/10)

= 2125/10

= 212.5

Since the value of the product of 25 and 8.5 is 212.5 which is less than 250. It can be calculated that the number is smaller than 250.

Hence, the value of 25×8.5 is less than 250.

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Answer:

Step-by-step explanation:

180-117 = 63(l.p)

66+63+x = 180 ( angle sum property)

180 - 129 = 51

x = 51

Answer:

no

Step-by-step explanation:

for them to be proportional they would be equal when simplified

if we simplify both

6/8=3/4 (divide by 2)

24/28=6/7 (divide by 4)

they are not the same therefore not proportional

Answer:rational

Step-by-step explanation:

Answer:

It is rational

Step-by-step explanation:

Since it repeats 5 over and over again it is rational. If the decimal didn't have a pattern like the number 4.598389599527... then the answer would be irrational.

Answer: No, Madeline did not ser up her work correctly.

Step-by-step explanation:

It’s supposed to be 4-12 over(/) 7-9 which it would equal to m=4

Answer:

6x-4=4x+14

Step-by-step explanation:

x=

9

Answer:

[tex]-\frac{1}{2} (x - 1)^2 + 1[/tex]

Explanation:

Since it is flipped and now extending to negative infinity, we make [tex]x^2[/tex] negative, so it is [tex]-x^2[/tex].

Lastly, there are a few shifts, it is shifted right once and up once.

To shift it right once, you would subtract a 1 from x directly: [tex]-(x - 1)^2[/tex]

To shift it up once, you would add 1 to the entire equation: [tex]-(x - 1)^2 + 1[/tex]

To account for the stretching, it would be: [tex]-\frac{1}{2} (x - 1)^2 + 1[/tex]

Answer:

Break up the number

Step-by-step explanation:

6 x 295 = 1770

295 = 200 + 90 + 5

(6 x 200) + (6 x 90) + (6 x 5) = 1770

1200 + 540 + 30

1740 + 30

1770

The value of the expression 6 x 295 using the property of multiplication will be 1770.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and correctly.

The numbers are given below.

6 and 295

Then the multiplication of the numbers 6 and 295 will be given by putting a cross sign between the numbers 6 and 295. Then we have

⇒ 6 x 295

⇒ 1770

The value of the expression 6 x 295 will be 1770.

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Answer:

10 units I think im not sure

Step-by-step explanation:

Answer:

My answer is in the equation

Step-by-step explanation:

where m is the slope and b is the y-intercept. Subtract x from both sides of the equation. Multiply both sides by −1

Answer:

B. 86.6 :))

Step-by-step explanation:

took the test on edge

Answer:

THis is a function

Step-by-step explanation:

Each x value corresponds to one y-value. It is a function.

Answer:

is it multiple choice? is 6x -24 an option?

The temperature dropped an average of 3 Fahrenheit per 1 hour.

The slope = -3/1

Answer:

1

Step-by-step explanation:

Answer:

a 0, 16, 64,144 graph A edge

Step-by-step explanation:

The graph that best represents the equation is option A.

What is an Equation?

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

The equation is

s = 16t²

The table is

s              t

0             16*0 = 0

1              16 * 1 = 16            

2              16 * 4 = 64

3               16 * 8 = 108

The points represents a parabola opening upwards, vertex is at (0,0) and goes through the point (-1,16)

This has been confirmed by the graph plotted for the equation.

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Answer:

whats the question

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

got it right on edge

Answer:

C / 2 times 10 Superscript 16

Step-by-step explanation: