A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days: f(d) = 11(1.01)°

Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm.
What is a reasonable domain tc plot the growth function?
(4 points)

Part B: What does the y-intercept of the graph of the function f(c) represent? (2 points)

Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent? (4 points)

Each pair of angles should be matched with the correct property (theorem) as follows:

e. Vertical Angles: Angles 7 and 6.

a. Alternate Exterior Angles: Angles 1 and 8.

g. Alternate Interior Angles: Angles 4 and 5.

h. Corresponding Angles: Angles 2 and 6.

d. Supplementary Angles: Angles 6 and 8.

Parallel lines simply refers to two (2) lines that always have the same or equal distance apart and never meet.

The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed are congruent or angles of equal measure and magnitude such as Angles 1 and 8.

The alternate interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent such as Angles 4 and 5.

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Answer:

394, 396 and 398

Step-by-step explanation:

Answer: -18

Step-by-step explanation:

im not 100% sure but good luck :)

Answer:  -12/2/3=-2

Step-by-step explanation:

Answer:

when y=20

x=unknown number

x-y=16

x=16+y

x=16+20

x=36

Step-by-step explanation:

To find x, you would do 180-36-63, which would be 81.

Then you would do 180-81 to find z, which is 99.

To find y, would do do 180-99-13, which is 68.

Answer:

x=81

y=68

Z=99

Step-by-step explanation:

to find x we have to remember the rule that all 3 angles sum up to be 180 in a triangle

So we use this to find x

180-(63+36)=x

180-99=x

81=x

Now to find z since it is on a flat plane you just subtract 81 from 180 to find z

180-81=z

99=z

Now to find y we add all the angles of the second triangle and then subtract that sum by 180

180-(13+99)=y

180-112=y

68=y

Hopes this helps please mark brainliest

The hypotenuse of the right triangle is 7.93 inches.

According to the question,

We have the following information:

A right triangle has a leg that measures 7 in. The angle opposite this side measures 62°.

Now, the hypotenuse can be easily found using the trigonometric function.

(More to know: in a right triangle, we can use the Pythagoras theorem. This theorem can not used in any other triangle.)

We will use sin 62 to find hypotenuse.

Sin 62 = perpendicular/hypotenuse

Hypotenuse = perpendicular/sin 62

Hypotenuse = 7/0.88295

Hypotenuse = 7.93 inches

Hence, the hypotenuse of the right triangle is 7.93 inches.

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Answer: Yes

Step-by-step explanation:   Most month have 4 weeks so your right.

The required rotation of the 180° is given by, (X,y) -> (-X,-y), option A is correct and the required translation is given by (x + 6, y - 2), option D is correct.

Given that,
To determine which option shows the rotation of 180°, and translation of right 6 units and down 2 units.

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

Here,
For the rotation of the 180°, the given coordinate undergoes the change in direction so the required coordinate after 180° rotation is given as (-x, -y).
Now, for the translation of 6 units right we must add x with 6 and for 2 units down we must subtract y by 2, the required translation is given as(x + 6, y -2).

Thus, the required rotation of the 180° is given by, (X,y) -> (-X,-y), and the required translation is given by (x + 6, y - 2).

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Booker's father amount of commission earned is 668.31 dollars.

Sophia needs to make sells of 16744 dollars in order to earn at least 1800 dollars in commission.

Booker's father sells computer software and earns a 4.25% commission on every software package he sells.

The amount of commission he will earn after selling a software package of $15, 725 can be calculated as follows:

amount of commission earned = 4.25% of 15725

amount of commission earned =  4.25 / 100 × 15725

amount of commission earned = 66831.25 / 100

Therefore,

amount of commission earned = 668.3125

amount of commission earned = 668.31 dollars

Sophia needs to earn at least 1800 dollars each month to cover her living expenses.

The minimum she needs to sell in order to earn at least 1800 dollars if she earns 10.75% commission can be calculated as follows:

let

x = amount she needs to sell

Therefore,

10.75% of x ≥ 1800

10.75 / 100 x ≥  1800

multiply both sides by 100

10.75x ≥ 180000

divide both sides by 10.75

x ≥ 16744.1860465

x ≥ 16744

Therefore, she needs to sell 16744 dollars worth of goods.

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The graph of the function g(x) after putting the value in function f(x) is attached with the answer.

What is function?

A relation b/w a collection of inputs and outputs is known as a function. A function is a relationship between inputs in which each input is connected to precisely one output.

Given function:  f(x) = x-1

we have to find: g(x)=f(3/4x)

Putting the value of f(x) in g(x),

g(x) = 3/4x - 1

Now, the graph of the function (3/4)x - 1 is attached in the question.

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The value of (CnD)'= {3,5} and the valueof C' U D = { 2,3,5,7}

The complement of a set is the set that includes all the elements of the universal set that are not present in the given set. Let's say A is a set of all coins which is a subset of a universal set that contains all coins and notes, so the complement of set A is a set of notes (which do not includes coins).

if U = { 2,3,4,5,7}

C= { 2,4}

D= { 2,7}

therefore (CnD)= { 2,4,7}

the complement of set (CnD) that is, (CnD)' = {3,5}

complement of set C (C')= { 3,5,7}

Therefore the union of C' and D(C' U D) = { 2,3,5,7}

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60 degrees is he angles which are made by bracket with the wall

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The shelf is perpendicular to the wall.

The shelf makes an angle of 90 degree to the wall because when the shelf is perpendicular then the wall and shelf should be ninety degrees.

From the shelf edge to wall there creates an angle x.

We need to find the angle x.

As it forms a right angle triangle one angle is 90 degrees and the other angles should be 60 degrees and 60 degrees.

Hence 60 degrees is the angles which are made by bracket with the wall

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Answer: 8.7m

Step-by-step explanation:

We can use the Pythagorean theorem to solve this,

[tex]a^2+b^2 = c^2[/tex]

We have a (5m) and c (10m) so we're looking for b.

We can rearrange the equation to find b into,

[tex]b^2 = c^2-a^2[/tex]

[tex]b^2=10^2-5^2[/tex]

[tex]b^2 = 100-25[/tex]

[tex]b^2=75[/tex]

[tex]b=8.66025404[/tex]

Rounded to the nearest tenth is 8.7m.

Answer:

53 1/3

Step-by-step explanation:

[tex]1\frac{2}{3} =\frac{3+2}{3} =\frac{5}{3}[/tex]

[tex](32)(\frac{5}{3} )=\frac{(32)(5)}{3} =\frac{160}{3}[/tex]

[tex]\frac{160}{3} =53 +\frac{1}{3} =53\frac{1}{3}[/tex]

Hope this helps

The value of the expression is [tex]\frac{160}{3}[/tex].

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

[tex]1\frac{2}{3}[/tex] of 32

= [tex]\frac{5}{3}[/tex] x 32

[ 5 x 32 = 160 ]

= [tex]\frac{160}{3}[/tex]

Thus,

The value of the expression is [tex]\frac{160}{3}[/tex].

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By using the distributive property, we will rewrite the expression as:

2n*(5m -1) = 10*n*m - 2n

The distributive property of the multiplication says that the product:

A*(B + C)

Can be rewritten as:

A*(B + C) = A*B + A*C

So we are "distributing" the product.

In this case, we have the expression:

2n*(5m - 1)

If we apply the distributive property, then we will get:

2n*(5m - 1) = (2n)*(5m) + (2n)*(-1)

Now we can simplify this expression to get:

(2n)*(5m) + (2n)*(-1) = 10*n*m - 2n

That is what we wanted to get.

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Answer:

136 cm

Step-by-step explanation:

area of rectangle-- width x length--- 112

area of triangle-- base x height divided by 2--- 24

please mark brainiest

===============================================

Work Shown:

F = (9/5)*C + 32

F = (9/5)*27 + 32

F = 80.6

F = 81

Side note: 9/5 = 1.8

Answer:

81 degrees Fahrenheit.

Step-by-step explanation:

Using the standard Fahrenheit-Celsius conversion formula.

27 * 9/5 = 48.6.

48.6 + 32 = 80.6.

Rounded to 81.

Therefore 81 degrees Fahrenheit.

The exponential function will be equal to y = 20ˣ.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Carter shared his post with 10 friends, who each share with only 2 people each day.

The exponential function will be written as,

y = abˣ

y = 10(2)ˣ

y = 20ˣ

Therefore, the exponential function will be equal to y = 20ˣ.

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Answer:

f(x) = 10(2)^x

Step-by-step explanation:

Rule for solving: The first number is the first part of the equation, and the second number is in parenthesis.

Answer:

40%

Step-by-step explanation:

4.8 * 100 = 480

480 / 12 = 40

 = 40%

I hope this helps.

The number is 17

Let the number = x

From the question, we have

(x*100)/10*1000 = 170000

x = 17

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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Answer:

ft HD st he do it to we if do ks do just bc

Answer:

Step-by-step explanation:

OK:

I won't be able to draw this but if I can I will

1. Find 2/3 of the 12 pieces

2/3*12=

24/3=

8

2. Answer: Shade 8 out of 12 pieces

The probability of getting someone in the 18-21 age bracket or someone who responds is 28.7%.

The total number of people in the 18-21 age bracket is 93. The number of people in this bracket who responded is 79. The number of people in this bracket who refuse to respond is 14. The total number of people in the 22-29 age bracket is 251. The number of people in this bracket who responded is 219. The number of people in this bracket who refuse to respond is 32.

A person is randomly selected from all the people surveyed. We need to find out the probability of getting someone in the 18-21 age bracket or someone who responds. Let the variables E1 and E2 represent the events.

E1 is the event of getting a person from the 18-21 age bracket.

E2 is the event of getting a person who responds.

P(E1∪E2) = P(E1) + P(E2) - P(E1∩E2)

P(E1∪E2) = (93/344) + [(79 + 219)/344] - (79/93)

P(E1∪E2) = 0.27035 + 0.86628 - 0.84946

P(E1∪E2) = 0.28717

Hence, the probability of getting someone in the 18-21 age bracket or someone who responds is 28.7%.

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THE LENGTH AND WIDTH WILL BE = length: 5.7 yd

width: 1.7 yd.

According to our question-

 w(w +4) = 10

 w² +4w = 10 . . . . . eliminate parentheses

 w² +4w +4 = 14 . . . . . . add the square of half the w-coefficient to complete the square

 (w +2)² = 14 . . . . . . . . . rewrite as a square

 w +2 = √14 . . . . . . . . . take the square root

 2 = -2 +√14 ≈ 1.7 . . . . yards (width)

Then the length is 4 more yards than this, so is ...

 length = 1.7 +4 = 5.7 . . . yards

The length and width are 5.7 and 1.7 yards, respectively.

In the attached graph, we let x represent the length. As you can see, the magnitudes of the two zeros are width and length.

HENCE,THE LENGTH AND WIDTH WILL BE = length: 5.7 yd width: 1.7 yd.

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Answer:

No solution.  The lines are parallel

Step-by-step explanation:

I graphed with Desmos.  It is a free.

From the given graph the correct statement is option (B) " As x approaches - ∞, f(x) approaches - ∞ and x approaches + ∞, f(x) approaches - ∞

From the given graph

The x axis represents the values of x, and the y axis represents the value of y

From the graph,

When the value of x moves from 0 to - ∞, then the value of f(x) is moves from 0 to - ∞

Similarly, when the value of x moves from 0 to ∞, the  the value of f(x) is increased to positive values and then decreased to - ∞.

Hence, from the given graph the correct statement is option (B) " As x approaches - ∞, f(x) approaches - ∞ and x approaches + ∞, f(x) approaches - ∞

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Answer:

i think third answer is write

The inequality that relates [tex]LN[/tex] and [tex]OQ[/tex] is [tex]LN>OQ[/tex].