Question 4 (Essay Worth 10 points)
(06.05 MC)

Iris is a botanist who works for a garden that many tourists visit. The function f(s) = 2s + 25 represents the number of flowers that bloomed, where s is the number of seeds she planted. The function s(w) = 25w represents the number of seeds she plants per week, where w represents the number of weeks.

Part A: Write a composite function that represents how many flowers Iris can expect to bloom over a certain number of weeks. (4 points)

Part B: What are the units of measurement for the composite function in Part A? (2 points)

Part C: Evaluate the composite function in Part A for 30 weeks. (4 points)

Answers

Answer 1

Answer:

(a) f (w)=50w+25

b number of flowers for a given number of weeks

(c) f (30)=1525

Step-by-step explanation: hope this helps :)

Answer 2

A function is said to be a composite function when a function is written in another function. The composite function that represents the number of flowers is [tex]f(w) = 50w + 25[/tex] and the number of flowers for 30 weeks is 1525.

Given that:

[tex]f(s) = 2s + 25[/tex]

[tex]s(w) = 25w[/tex]

The number of flowers to bloom over w weeks is calculated using the following composite function: f(w)

[tex]f(s) = 2s + 25[/tex]

Replace s with s(w)

[tex]f(s(w)) = 2(s(w)) + 25[/tex]

Substitute [tex]s(w) = 25w[/tex]

[tex]f(s(w)) = 2(25w) + 25[/tex]

[tex]f(s(w)) = 50w + 25[/tex]

Hence:

[tex]f(w) = 50w + 25[/tex]

The units of the measurement of f(w) is flowers

The number of flower for 30 weeks means:

[tex]w = 30[/tex]

So, we have:

[tex]f(30) = 50 \times 30 + 25[/tex]

[tex]f(30) = 1525[/tex]

Hence, the number of flowers for 30 weeks is 1525

Read more about composite functions at:

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Related Questions

How many terms are in the given expression?
52 + Zn - 2f

Answers

Answer:

3

Step-by-step explanation:

Answer:

3 terms are given

Step-by-step explanation:

Hyperloop, a new model of travel, aims to reach a speed of 170 m/s. This is less than the speed of sound. What is the speed of sound?

(PLSSS I NEED THE ANSWER TO THIS ASAP TY)
:)

Answers

Answer:

The Speed of sound is 340 meters per second.

hope this helps!

If you wouldn't mind, would you be willing to give me brainliest?

Thank you and your welcome!

A jogger ran 6 miles due east of his house. Then he ran 4 miles at a heading of 30o East of North (or 30o NE). How far is he from his house after running 10 miles?

Answers

Answer:8

Step-by-step explanation:

Answer: square root of 76

Step-by-step explanation:

6^(2)+4^(2)-2*6*4*cos120= 76 and then to simplify you square root it


The graph of y = f(x) is shown.
a) Find f(0)
4-
3.
b) Give the roots of f(x) = 0

Answers

Answer:

f(0) = 2

Roots are;

-2 and -1

Step-by-step explanation:

F(0) simply refers to the y-values when x = 0

This is the point at which the graph crosses the y-axis

the value here is 2

To

find the roots of f(x) , we simply find the points at which the plot crosses the x-axis

we have this at x = -2 and x = -1

These are what represents the roots of the equation

Please help me with this

Answers

1 , 5
5

7
15

i think this is right

The population of the town increased from 175000 to 262500 in a decade. What is the average percent increase of population per year?

Answers

Answer:

5%

Step-by-step explanation:

As given,

The population of the town increased from 175000 to 262500 in a decade.

⇒ In 10 years , population increased from 175000 to 262500

⇒% increase = [tex]\frac{262500 - 175000}{175000}[/tex]× 100% = [tex]\frac{87500}{175000}[/tex]×100% = 0.5×100% = 50%

Now,

Average % increase = [tex]\frac{percent increase}{Total years}[/tex] = [tex]\frac{50}{10}[/tex]% = 5%

∴ we get

Average percent increase of population per year = 5%

3y=4.8 (I'm so confused it isn't even funny)

Answers

Answer:

y = 1.6

Step-by-step explanation:

4.8/3=1.6

3*1.6=4.8

Answer:

[tex]y = 1.6[/tex]

Step-by-step explanation:

[tex]3y = 4.8[/tex]

Use inverse operations to solve this problem. Inverse operations is a method of solving a linear (and in some cases quadratic) equation. This method has one do the same operations to both sides such that it cancels out the operations done to the variable, and hence, it leaves one with the solution.

In this case, all one has to do is divide both sides by the coefficient of the varibale (y).

[tex]3y = 4.8[/tex]

÷[tex]3[/tex]

[tex]y = 1.6[/tex]

Help ASAP! Question 12 points)
05.02 MC
The angles below are supplementary. What is the value of x? (5 points)
5
7.5
15
30

Answers

it is b) 7.5 ........your welcome

Answer:

D

Step-by-step explanation:

supplementary means two angles that there sum will be 180. and 30 x 4 = 120 + 20 = 140 and if you add the other angle 40 that's 180.

PLS HELP I WILL GIVE BRIANLY

A box has a certain number of blue,white,red and yellow marbles. 2/5 of the marbles are blue. The number of white, red and yellow marbles in the box are equal. Which of the following could be the number of marbles in the box?​

Answers

What are the options?

what is the question again?

The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters. What is the volume of the pyramid in cubic centimeters.

Answers

Answer: 450 cm³ is the volume

Step-by-step explanation:

Volume of pyramid = L x W x H divide by 3

The required volume of the given square pyramid is 20,250 cubic centimeters.

Given that,
The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters. The volume of the pyramid in cubic centimeters is to be determined.

What is volume?

Volume is defined as the ratio of the mass of an object to its density.

Here,
The volume of the square pyramid is given as,
= 1/2 area of base × height
= 1/2[30×30]×45
= 900 × 45 / 2
= 20,250 cubic centemeters.

Thus, the required volume of the given square pyramid is 20,250 cubic centimeters.

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79.2 is what percent of 110?

Answers

Answer:

72

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:79.2 divided by 110 = 0.75. move the decimal two places and you get 75.

please help work this out

Answers

Answer:

Area=190.091 cm^2

Step-by-step explanation:

Area = 1/2(Pi x r^2)    one-half because it's a semi-circle

Area=1/2(3.14 x 11^2)

11^2=121 so, Area=1/2(3.14 x 121)

Area=1/2(379.94)

Area=189.97 cm^2

adjustment:

Area=1/2(3.142 x 11^2)

Area=1/2(3.142 x 121)

Area=1/2(380.182)

Area=190.091

A student is solving -5+2x=15 find the students mistake and correct it

Answers

Answer:

correct students

-5+2x=15

2x=15+5

2x=20(divided by 2 both sides)

x=10

mistake students

-5+2x=15

-3x=15(divided by - 3 both sides)

x=-5

The required simplified value of the given expression is given as x = 10.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
-5 + 2x = 15

Now,
Adding 5 on both sides,
2x = 15 + 5
2x = 20

Divide by 2 into both sides
x = 10

Thus, the required simplified value of the given expression is given as x = 10.

Learn more about simplification here:

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The question is incomplete, the correct solution is given above, to determine the mistake of the student, compare the above solution with the student solution.

PLSSS HELP MEE SHOW UR WORK!!

Answers

Answer:

(-3, 13)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -4x + 1

11y = x + 146

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                  11(-4x + 1) = x + 146Distribute 11:                                                                                                      -44x + 11 = x + 146[Addition Property of Equality] Add 44x on both sides:                                11 = 45x + 146[Subtraction Property of Equality] Subtract 146 on both sides:                      -135 = 45x[Division Property of Equality] Divide 45 on both sides:                              -3 = xRewrite/Rearrange:                                                                                          x = -3

Step 3: Solve for y

Define original equation:                                                                                 y = -4x + 1Substitute in x:                                                                                                 y = -4(-3) + 1Multiply:                                                                                                           y = 12 + 1Add:                                                                                                                    y = 13

Plz, HELP me with this question!

Answers

Answer:

2/3

Step-by-step explanation:

There is a 2 in 3 chance the pointer will not land on c or d.

mrs. washington's class has x student. Three-fourths of these students like pizza.If 21 students in the class like pizza, which equation can be solved to determine the number of students in the class?
A. 21x = 3/4
B. 21x = 4/3
C. 4/3x = 21
D.3/4x = 21

Answers

It’s c have a good day pls brainlest):

Evaluate the expression for the given value of the variable.

3 × (c2 − 8) for c = 3

Answers

Answer:

I am assuming c2, is c^2.

3 × (c2 − 8)

=3 ×(3^2-8)

=27-8

=19

If c2 is c*2

Then,

3 × (c2 − 8)

=3×(6-8)

=18-24

=(-6)

Yooo I rly need help with this plzzzzz

Answers

Answer:

The second option

Step-by-step explanation:

I hope this helps

Please help. Cesium-137 has a half-life of 30 years. Identify the amount of cesium-137 left from 150 milligram sample after 120 years.
1.325 mg
0.9375 mg
9.3750 mg
1.097 mg

Answers

Answer:

1.325 mg

have a good day :)

Answer:

9.3750 mg

Step-by-step explanation:

Today only, a table is being sold at a 32% discount. The sale price is $357.
What was the price yesterday?

Answers

Answer:

Step-by-step explanation:

(1-0.32)p=357

0.68p=357

p=$525

Answer:

471.24

Step-by-step explanation:

First you want to find 32% of 357, which is 114.24. Then you want to add that onto 357. Hope this helps!

a supermarket has 129 crates of apples each crate holds 125 how many apples does the supermarket have

Answers

The answer would have to be 16,125.

A worker spent 3/4 of his monthly salary on food and 1/2 of the remainder on rent if he has 1500 left how much does he earn in a month ​

Answers

Answer:

$4000

Step-by-step explanation:

1500 × 2 =3000

3000 × ³/4 = 4000

Which of the following situations can be represented by
C = 10 + 0.44n?
Your answer:
A. The total cost at the grocery store for a cake that cost $10 and n bananas that cost $0.44 each.
B. The total cost of 10 soft drinks that cost $0.44 each.
C. The height of a plant after n days that was 10 centimeters tall and it grew 4.4 milimeters a day.
D. Not here

Answers

Answer:

A and C

Step-by-step explanation:

HELPPP MEEEEEEE
with this math

Answers

Answer:

it should be 1/8

Step-by-step explanation:

27 POINTS!!!!!!!!!!!!! PLEASE!!!!

Answers

Answer:

       

Step-by-step explanation:

The record time for the girls' 50-meter free style swimming competition is 24.49 seconds. Camilla has been training and wants to swim the 50-meter free style in less time. What are some possible times Camilla would have to swim to break the current record? Solve this problem any way you choose.

Answers

Answer:

[tex]x < 24.49[/tex]

Step-by-step explanation:

Given

[tex]Record = 24.49[/tex]

Required

Possible time to break the record

Since no option is given to select from. I will answer the question using inequalities

For her to break the record, she must swim at a time less than 24.49.

i.e. 24.48, 24.00, 23, 22.50, etc...

Represent the time with x.

So, the inequality is:

[tex]x < 24.49[/tex]

At a sleepover, three friends ate of a pizza for a
snack the next day, the friends ate of the leftover
pizza What fraction of the whole pizza was not eaten?

Answers

Answer:

none

Step-by-step explanation:

if they ate it all as leftovers then there was no pizza left uneaten

The weight of four puppys are shown in pound 9.5 9/38 9.125 9/34 which list shows these weights in order from gratest to lest

Answers

Answer: 9.5, 9.38, 9.34, 9.125

Step-by-step explanation: Decreasing numbers of value.

In what case does 8 + 8 = 4?
The correct answer, = 20 points and brainliest.
Please answer if you know the answer
Good luck!!!

Answers

Step-by-step explanation:

8:00 + 8:00 = 16:00 = 4:00PM

Madelyn bought 12 5/8 yards of fabric. She used 6 7/8 yards of the fabric for a costume. How much fabric did Madelyn have left?

Answers

Answer:

[tex]5\frac{3}{4}[/tex]

Step-by-step explanation:

We know that Madelyn bought 12 5/8 of fabric, we then are told she used 6 7/8 of them for a costume followed by asking how much fabric she has left.

Madelyn has 12 5/8 in total

She took away 6 7/8.

To make this easier for us, we can make both fractions improper, which can be done by multiplying the whole number by the denominator and adding the numerator.

[tex]12\frac{5}{8} -6\frac{7}{8}[/tex]

Multiply the whole number by the denominator :

[tex]\frac{5}{96} - \frac{7}{48}[/tex]

Add the numerator and change the denominator back to 8 :

[tex]\frac{101}{8} - \frac{55}{8}[/tex]

Subtract the numerators :

[tex]\frac{101 - 55}{8} = \frac{46}{8}[/tex]

Simplify the fraction to the lowest possible :

[tex]\frac{46/2}{8/2} = \frac{23}{4}[/tex]

Put the improper fraction back into a mixed fraction :

[tex]5\frac{3}{4}[/tex]

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