Complete question :
Polly’s Pasta and Pizza Supply sells wholesale goods to local restaurants. They keep track of revenue earned from selling kitchen supplies and food products. The function K models revenue from kitchen supplies and the function F models revenue from food product sales for one year in dollars, where t represents the number of the month (1 – 12) on the last day of the month.
K(t)=15t^3–312t^2+1600t+1100
F(t)=36t3–720t2+3800t–1600
In which month was her revenue from food products the greatest? The least?
Answer:
greatest revenue = 4384
Leat revenue = 400 ; October
Step-by-step explanation:
Using the model :
Claculating the revenue from. Food sales from January through December :
F(t)=36t^3–720t^2+3800t–1600
Put t = 1, 2, 3,.. 12 for January through December
t = 1
F(1)=36(1^3) - 720(1^2) + 3800(1) - 1600 = 1516
t = 2
F(2) = 36(2^3) - 720(2^2) + 3800(2) - 1600 = 3408
Inputting the t values up to 12 to cover for January thkorugh December :
We have the data:
t1 = 1516
t2 = 3408
t3 = 4292
t4 = 4384
t5 = 3900
t6 = 3056
t7 = 2068
t8 = 1152
t9 = 514
t10 = 400
t11 = 996
t12 = 2528
Hence, greatest revenue = 4384 (month of April)
Least revenue is at t10(October) ; Lowest revenue is at t 10 = 400
What is a division sign beside ‘/‘?
Answer:
Division can be represented with ÷ as well.
How do I solve this finding the first four of the sequence?
Answer:
- 7, - 3, 1, 5
Step-by-step explanation:
Using the recursive rule and a₁ = - 7, then
a₂ = a₁ + 4 = - 7 + 4 = - 3
a₃ = a₂ + 4 = - 3 + 4 = 1
a₄ = a₃ + 4 = 1 + 4 = 5
The first four terms are - 7, - 3, 1, 5
3. What is the simplest way to write
3a + 2b - 3a + b? Briefly show or explain your
reasoning.
Answer:
3b is the answer
3a+2b-3a+b
3a-3a+2b+b
2b+b
Step-by-step explanation:
The first step I did is switch up the equation so that the like terms are next to each other. So the a’s are next to each other and the b’s are next to each other. Then I subtracted 3a-3a and got 0 and in the last step I added the 2b + b and got 3b.
9a^2- 4b^2
First, Apply the distributive property 3a(3a)+3a(−2b)+2b(3a)+2b(−2b)
Second Simplify the term. 3a(3a)+2b(−2b)
Third, Simplify Each term.
3⋅3a2+2b(−2b)
9a2+2b(−2b)
9a2+2⋅−2b2
= 9a2−4b2
please help me stat! im not sure on what to do.
Use the box plot. It shows the number of days on the market for single family homes in a city. What are the third and first quartiles of the data? a. 40, 30 b. 140, 80 c. 140, 0 d. 80, 30
Step-by-step explanation:
Box plots (also called box-and-whisker plots or box-whisker plots) give a good graphical image of the concentration of the data. They also show how far the extreme values are from most of the data. A box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value. We use these values to compare how close other data values are to them.
To construct a box plot, use a horizontal or vertical number line and a rectangular box. The smallest and largest data values label the endpoints of the axis. The first quartile marks one end of the box and the third quartile marks the other end of the box. Approximately the middle 50 percent of the data fall inside the box. The “whiskers” extend from the ends of the box to the smallest and largest data values. The median or second quartile can be between the first and third quartiles, or it can be one, or the other, or both. The box plot gives a good, quick picture of the data.
Expand logarithm equations
Answer:
[tex] log_{2}(x) + log_{2}(y) + log_{2}(z)[/tex]
Step-by-step explanation:
[tex]5 log_{2}(xyz)^{ \frac{1}{5} } \\ \\ = 5 \times \frac{1}{5} log_{2}(xyz) \\ \\ = log_{2}(xyz) \\ \\ = log_{2}(x) + log_{2}(y) + log_{2}(z)[/tex]
Ron is building a shed in the shape of a right circular cylinder. If the height of the shed is 14 feet and the radius is 72 inches, what is the volume of the shed? (Use straight pi equals 3.14)
A) 1,582.56 feet cubed
B) 3,165.12 feet cubed
C) 395.64 feet cubed
D) 496.25 feet cubed
Answer:
D) 496.25 ft³
Step-by-step explanation:
V = πr²h
3.14 × 14² × 72
) What is Stacy's final number if her starting number is 12?
3n + 10 = 3
?) +10
Step-by-step explanation:
If 3n+10=3
... 3(12)+10=46?
The value of the number when n = 12 is 46.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given an expression to find the n th number.,
3n + 10
We have to find the value of the number when n = 12
Substitute the value of n = 12 and solving, we get,
= (3 × 12) + 10
Multiplying 3 with 10, we get 30.
= 36 + 10
Adding the number 10 with 36, we get,
= 46
Hence the final number is 46.
To learn more about Expressions, click on the link given below :
https://brainly.com/question/29583350
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Find the measure of the indicated arc
Answer:
arc LMN = 210°
Step-by-step explanation:
The inscribed angle LQN is hal the measure of its intercepted arc, that is
arc LMN = 2 × 105° = 210°
Find cos(3) in the triangle
Answer:
I'm pretty sure its a, if not b
A shadow 12 meters long is cast by a fir tree that is 16 meters tall. What is the length of the shadow cast by a nearby ash tree that that is 8 meters tall?
Write your answer as a whole number or a decimal. Do not round.
Answer: 5 m
Step-by-step explanation:
Given
Length of 16 m fir tree is 12 m
length of the ash tree is 8 m
Suppose x is the length of the ash tree
angle [tex]c[/tex] made by fir and ash tree will be same as shown in figure
[tex]\Rightarrow \tan c=\dfrac{16}{12}=\dfrac{8}{x}\\\\\Rightarrow x=8\times \dfrac{12}{16}\\\\\Rightarrow x=5\ m[/tex]
Select the correct answer.
William buys two bags of peaches and three bags of apricots for $17. Sylvia buys four bags of peaches and two bags of apricots for $22 from the same store. What is the cost of one bag of peaches?
A.
$3
B.
$4
C.
$5
D.
$7
wer:
B 4
Step-by-step explanation:
Find the slant height, l 24
Which of the following is not a rational number?
Help please
the fraction 14/5 lies between what to whole numbers
Answer:
2 and 3
Step-by-step explanation:
(x+5)/2-(2x-7)/3+x/6
There are 4 boys and 16 girls planning the next school dance. What is the ratio of boys to girls planning the school dance?
Answer:
1 : 4
Step-by-step explanation:
If you simplify the amount of boys over girls, you get 1/4.
This recipe makes 5 portions of porridge. Complete the amount of each ingredient that is needed to make just 2 portions. Recipe: Serves 5 200 g oats 1.2 L milk 60 g sugar
Answer:
For 2 portions, our Ingredients include
80g of oats, 0.48L of milk and 24g of sugar
Step-by-step explanation:
For 5 portions of ingredients
We need 200g of oats, 1.2L of milk and 60 g of sugar
Hence, for 2 portions of Ingredients, the measure of ingredients is calculated as:
For Oats
5 portions = 200g oats
2 portions = x
Cross Multiply
5x = 2 × 200g
x = 2 × 200g/5
x = 80g of oats
For Milk
5 portions = 1.2L milk
2 portions = x
Cross Multiply
5x = 2 × 1.2L
x = 2 × 1.2L/5
x = 0.48 L of milk
For Sugar
5 portions = 60g of sugar
2 portions = x
Cross Multiply
5x = 2 × 60g
x = 2 × 60g/5
x = 24g of sugar
Therefore for 2 portions, our Ingredients include
80g of oats, 0.48L of milk and 24g of sugar
Use slope-intercept form
Answer:
[tex]y=-\frac{1}{2} +3[/tex]
Step-by-step explanation:
Answer:
y = -1/2x + 3
FR.EE POINTS what is 5 x 32 divided by 9
just for fun will give brainllest
su.b to my youtu.be name is A Hulse
Answer:
17.7777777778
Step-by-step explanation:
ok i will subscribe
Answer:
17 7/9
Step-by-step explanation:
Which correctly lists three forms of frozen water?
dew, frost, rain
frost, hail, sleet
hail, rain, sleet
rain, dew, frost
Answer:
B, because all the other answers have rain in them and rain isn't frozen.
Hope this helped!
P. S. : Can I get brainliest please?
What is the slope of the line containing (4, 7) and (1, 10)
Answer:
[tex] \frac{10 - 7}{1 - 4} = \frac{3}{ - 3} = - 1[/tex]
Jenny counted the coins in her bank.
She had 4 times as many nickels as dimes.
She had 8 more quarters than nickels.
She had 52 dimes.
How many quarters did Jenny have in her bank?
A.
21
B.
64
C.
200
D.
216
Answer:
the top one is correct
Step-by-step explanation:
byee
Tess took a total of 36 quizzes over the course of 4 weeks. After attending 10 weeks of school this quarter, how many quizzes will Tess have taken if this rate stays constant?
Answer:
90 Test
Step-by-step explanation:
so if you do 36/4 that means 9 if the rate is constant then you do 9 x 10 = 90
Hoped this helped
During the winter registration 72 athletes signed up to play basketball. If they have 6 even teams, how many players are on each team
Answer:
They have 12 players on each team because 72 divided by 6 equals 12.
14 Which function is best represented by this graph?
25 points! SHOW ALL WORK PLZ!
choose the correct discriminant, then write the type and number of roots that it indicates in the blank provided
3x + 6 = -6x^2 (x to the second power)
a) -141 ________
b) -135 ________
c) 0 _______
d) 153 ________
-----------------------------------------------------
choose the correct discriminant, then write the type and number of roots that it indicates in the blank provided
9x^2 (x to the second power) - 6x - 4 = -5
a) -72 ____________
b) 72 _____________
c) 360 __________
d) 0 ___________
Answer:its 11
Step-by-step explanation:
$:!
HELPP find the value of x. NO LINKS PLEASE
Answer:
x= 114°
Step-by-step explanation:
It has four sides so it should add up to 360°
So add> 101+100+45= 246
Then subtract> 360- 246= 114°
Four friends earned more than $400 working at a snack stand. After paying their parents $50 for providing supplies, the friends divided the remaining money equally among themselves. Which inequality could the friends have used to find m, the amount of money each would receive?
Answer:
the equation (400-50) divided by 4
= $87.50 per person
Step-by-step explanation:
hope it helps
Brian and sonya each have a container. They mark their containers to show tenths. Brian and sonya both fill their containers with 0.7 units of juice. However, brian has more juice in him container. Explain how this is possible.
Answer:
Step-by-step explanation:
Brian could have more juice than Sonya in actual sense, This is because the representation used, that is the container has been calibrated to show tenth. This means that decimal values of juice in the container will not show explicit volume beyond tenth. Hence the volume will be rounded.
For instance, if the actual volume of juice Brian has Is 0.74 and that owned by Sonya is 0.69. In actual sense, 0.74 > 0.69 . However, if both pour their juice into the calibrated container, Brian's volume will be rounded to the nearest tenth as 0.7 and Sonya's (0.69) will also be rounded to 0.7.
But in actual sense, Brian has more Juice than Sonya.