The new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 1574 + 3t - 2t².
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that during a 20-year period, G and I can be modeled by the following equation (where t is the time in years) :
G = 674 + 3t – 2t² + 5t + 60
I = 314 - 31 + 512 - 5t + 45
where {G} is the number (in billions) of new green tea sales and {I} be the number in billions of new fruit juice sales.
A new model {A} for the total number of new green tea and fruit juice sales can be written as -
{A} = {G} + {I}
{A} = 674 + 3t – 2t² + 5t + 60 + 314 - 31 + 512 - 5t + 45
{A} = (674 + 60 + 314 - 31 + 512 + 45) + (3t + 5t - 5t) - 2t²
{A} = 1574 + 3t - 2t²
Therefore, the new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 1574 + 3t - 2t².
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Final answer:
To create a new model for the total sales of green tea and fruit juice, the sales equations for both products are added together and simplified, resulting in the model A = 3t² + 1093, representing combined sales in billions as a function of time in years.
Explanation:
To find a new model A for the total number of new green tea and fruit juice sales, we need to combine the models given for G (green tea sales) and J (fruit juice sales). The models provided had some errors, but they should be:
G = 674 + 3t – 2t² + 5t + 60
and
J = 314 – 3t + 5t² – 5t + 45
Combining these models to form A (total sales), we add G and J together:
A = G + J
= (674 + 3t – 2t² + 5t + 60) + (314 – 3t + 5t² – 5t + 45)
Now, we simplify the equation by combining like terms:
A = (674 + 314) + (3t – 3t) + (5t – 5t) – 2t² + 5t² + (60 + 45)
A = 988 + 0t + 0t + 3t² + 105
A = 988 + 3t² + 105
A = 3t² + 1093
Therefore, the new model A for the total sales is A = 3t² + 1093. This model represents the combined sales of green tea and fruit juice in billions of dollars during the 20-year period as a function of time t in years.
How to solve the 30° 60° and 90° of a right triangle
Answer:
Step-by-step explanation:
Divide the hypotenuse by 2 to find the short side. Multiply this answer by the square root of 3 to find the long leg. Type 3: You know the long leg (the side across from the 60-degree angle). Divide this side by the square root of 3 to find the short side.
hope this helps you for a math problem~
: )
The adventure club went on a hike to see a waterfall. To get to the hike, the club members took 6 cars and 8 vans. There were 5 people in each car and 8 people in each van. How many people went on the hike?
Answer:
94 club members
Step-by-step explanation:
8 x 8 = 64
5 x 6 = 30
64 + 30 = 94
The mean of a data set is 30. What is the deviation from the mean of a data point 27 that was part of the data set?
a) 1.5
b) –3
c) 3
d) –1.5
Answer:
most likely B
Step-by-step explanation:
What is the measure of ∠A, to the nearest degree?
17°
33°
57°
73°
A scalene triangle A B C. Side B C is the base. Side A B is labeled as 7 meters. Side A C is labeled as 7 meters. Side B C is labeled as 4 meters.
Answer:
33
Step-by-step explanation:
Which is a true statement about the dot plot? Number of Rolls of a Six-Sided Number Cube to Get an Even Number A dot plot going from 1 to 5. 1 has 4 dots, 2 has 8 dots, 3 has 4 dots, 4 has 2 dots, and 5 has 1 dot.
Answer:
4 rolls
Step-by-step explanation:
Answer:
I saw some comment it was 4/ d
Step-by-step explanation:
Bruce is going to call one person from his contacts at random. He has 25 total contacts. 20 of those are from his neighborhood.
What is p(call a person not from his neighborhood)?
Answer:
Depends on if you count his parent(s) if not then the answer is 5
Step-by-step explanation:
Answer:
[tex]0.2[/tex]
Step-by-step explanation:
Probability = Number of favorable outcomes / Number of posssible
outcomes
There are [tex]5[/tex] favorable outcomes ( the [tex]25-20 = 5[/tex] people not from his neighborhood).
There are 25 possible outcomes ( the [tex]25[/tex] total contacts).
P (call a person not from his neighborhood) [tex]= \frac{5}{25} = 0.2[/tex]
Solve for X ???
A. 2 / 15
B. 20
C. 30
D. / 35
Answer:
2 sqrt(15)
Step-by-step explanation:
Using the secant tangent formula
(whole secant) x (external part) = (tangent)^2
(5+7) * 5 = x^2
12*5 = x^2
60 = x^2
Taking the square root
sqrt(60) = sqrt(x^2)
sqrt(4*15) = x
2 sqrt(15) =x
The hollow sphere has a diameter of 6 cm. Which expressions represent the volume of the shaded composite figure? Check all that apply. π(33) – π(1.53) π(9) – π(2.25) 36π – 4.5π 31.5π 40.5π
Answer:
A ,C,D
Step-by-step explanation:
I just finish edgenunity. so i know its correct √
y=3(x-2)(x+1)(x-4) find all the zeros of the function
Answer:
All of the zeros would be 2, -1 and 4
Step-by-step explanation:
When you set each of the factors equal to zero solve for x. The only one you can't is 3 because [tex]3\neq 0\\[/tex]
Final answer:
The zeroes of the function y = 3(x-2)(x+1)(x-4) are x = 2, x = -1, and x = 4.
Explanation:
The question asks to find all the zeros of the function y = 3(x-2)(x+1)(x-4). A zero of the function is a value of x that makes the function equal to zero. To determine these values, set the function equal to zero and solve for x:
0 = 3(x-2)(x+1)(x-4)
This equation is true when x equals 2, -1, or 4, since any of those values would make at least one of the factors equal to zero, which in turn makes the entire product zero. Therefore, the zeros of the function are x = 2, x = -1, and x = 4.
A first number plus twice a second number is 14. Twice the first number plus the second totals 19. Find the numbers.
Answer:
first number is 8 second number is 3
Keith is making a tomato soup recipe that requires 4/5 of a pound of tomatoes but he only has 3/4 of a pound of tomatoes. What fraction of the recipe can Keith make with the amount of tomatoes he has? (I'm lazy...someone help me out?)
Answer:
15/16 tomato soup
Step-by-step explanation:
his problem can be solved using the principle of proportionality or rule three.
A tomato soup recipe that requires 4/5 of a pound of tomatoes, which means that one unit of tomato soup is produced.
So how many units is produced with the amount of 3/4 of a pound of tomato.
Pound Tomato Tomato soup
4/5 1
3/4 x
then x equals:
x = (3/4*1)/(4/5)
x = 0.9375
x = 15/16 tomato soup
Which means that they are that amount of tomato produces 15/16 tomato soup.
identify the real part and imaginary part of each number below
8-7i
19i
Answer:
8-7i 8 is the real part and -7 is the imaginary part
19i 0 is the real part and 19 is the imaginary part
Step-by-step explanation:
8-7i 8 + (-7) i the real part is 8 the -7 is the imaginary part
19i 0 + 19i the real part is 0 the 19 is the imaginary part
The real and imaginary parts of complex numbers 8 - 7i and 19i are given below:
For the complex number 8 - 7i, the real part is 8 and the imaginary part is -7.
For the complex number 19i, the real part is 0 and the imaginary part is 19.
5. Which choice below could match the following ratio: 4 to 5 Look at
answer choiced first and simplify to see which one leaves you 4 to 5. *
O
A A teacher has 12 girls and 15 boys in her class.
O
B A restaurant sells 3 salads for every 2 steaks.
O
CA garden has 3 pepper plants for every 5 tomato plants.
O
DA car dealership sells 30 cars for every 5 trucks.
Answer:
A- A teacher has 12 girls and 15 boys in her class.
Step-by-step explanation:
12/3= 4
15/3= 5
This means that it will have a ratio of 4 to 5 because it is the only problem where you are able to divide both with a common number, which is 3.
aisha and jordan start by making a floor plan for their treehouWhich revision of these two sentences best shows that the coach blowing the whistle happened first?
The referee blew the whistle. The team ran onto the field.
Before the team ran onto the field, the referee blew the whistle.
The referee blew the whistle, but the team ran onto the field.
The referee blew the whistle because the team ran onto the field.
While the team ran onto the field, the referee blew the whistle.se. they decide to build a porch on one side of the treehouse
Answer: Statements 1 and 2 shows that the coach blowing the whistle happened first.
Step-by-step explanation: The coach blowing the whistle as the first event can be seen only from statements 1 and 2 only.
From statement 1, "the referee blew the whistle" was followed by "the team ran onto the field."
From statement 2, "before the team ran onto the field" shows clearly that one event took place "BEFORE" the one being reported and the one that occurred before this one was "the referee blew the whistle."
Statement 3 which is "the referee blew the whistle, BUT..." indicates that the whistle was meant to prevent the team from from running onto the field. So if the referee blew the whistle, but the team ran onto the field, it means the whistle blowing was not supposed to make them run onto the field.
Statement 4, which states that "the referee blew the whistle BECAUSE the team ran onto the field" indicates that, the reason for blowing the whistle was because the team ran onto the field which clearly shows that the team ran onto the field first before the referee blew the whistle.
Statement 5, "WHILE the team ran onto the field..." clearly shows that both events took place at the same moment, and so the referee blowing the whistle could not have occurred first.
Find the center and the radius of the circle then graph the circle (x+4)2 +(y-1)2=4
Answer:
Step-by-step explanation:
hello :
us the standard form : (x+4)² +(y-1)²=4
the center is : (-4 , 1) and the radius 2
Which of the following points on the xy-graph is the x-intercept of the equation y= 2x– 8? Hint: plug in first value for x, do order of operations until you get the 2nd value in the coordinate)
Answer:
Step-by-step explanation:
The x-intercept of the equation y = 2x – 8 will be 4.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation of the line is given below.
y = 2x– 8
Form the x-intercept, substitute the value of y equals zero. Then we have
0 = 2x– 8
2x = 8
x = 4
The x-intercept of the equation y = 2x – 8 will be 4.
More about the linear equation link is given below.
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PLEASE ANSWER! WILL GIVE BRAINLIEST!!!
$750 at a 4% annual compound interest rate over a period 4 years
Which of the following statements are true of the data? Check all that apply.
The starting balance of the 3rd year is $811.20.
The interest earned in the 3rd year is $31.20.
The ending balance for the 3rd year is $843.65.
The interest earned in the 4th year is $33.75.
The ending balance for the 4th year is $874.85.
Answer:
The starting balance of the 3rd year is $811.20.
The ending balance for the 3rd year is $843.65.
The interest earned in the 4th year is $33.75.
Step-by-step explanation:
750 × (1 + 4%)^n
750 × (1.04)^n
750 × 1.04² = 811.2
(End of second year, starting of third year)
750 × 1.04³ = 843.648
In third year: 843.648 - 811.2
= 32.448
750 × 1.04⁴ = 877.39392
During the fourth year:
877.39392 - 843.648
33.74592
Answer:
The starting balance of the 3rd year is $811.20.
The ending balance for the 3rd year is $843.65.
The interest earned in the 4th year is $33.75.
Step-by-step explanation:
I did it on edg.
Find The measure of angle BEC
Answer:
148
Step-by-step explanation:
Answer:116
Step-by-step explanation:
Graph the function and identify the domain and range y= -4 x^2
Step-by-step explanation:
y=-4x²
if x=0 x=2
y=0 y=16
x=1 x=-2
y=4×1² y=-16
y=4
x=-1
y=-4
1. You weigh six packages and find the weights to be 32, 22, 72, 27, 67, and 10 points
62 ounces. If you include a package that weighs 152 ounces, which will
increase more, the median or the mean?
Answer:
MEAN INCREASES MORE
Step-by-step explanation:
Sara is training for a marathon. On week one she could only run 4 miles without stopping for a rest. By week four she could run 11 miles. What percent did she increase her running
Answer:
Step-by-step explanation:
Distance increased = 11 -4 = 6 miles
Percentage =
=[tex]=\frac{7}{4}*100\\\\=7*25\\[/tex]
= 175%
2x / 3 = 12
HELP WILL GIVE 30 POINTS
Answe
Standard form:
2
3
x − 12 = 0
Factorization:
2
3
(x − 18) = 0
Solutions:
x = 36
2
= 18
Step-by-step explanation:
Answer:
yea 18
Standard form:
2
3
x − 12 = 0
Factorization:
2
3
(x − 18) = 0
Answer:
x = 36
2
= 18
Which set of numbers may represent the lengths of the sides of a triangle?
A.
5, 7, 9
C.
8, 5, 3
B.
1, 3, 4
D.
4, 4, 9
Answer:
A
Step-by-step explanation:
because for the sides to make a triangle the sum of the two shorter sides must be greater than the longest
Answer:
A, 5, 7, and 9
Step-by-step explanation:
There is a rule that states that the two shorter sides of a triangle have to be greater than the largest side.
A is correct because 5 + 7 > 9
B is incorrect because 5 + 3 = 8
C is incorrect because 1 + 3 = 4
D is incorrect because 4 + 4 < 9
I hope this helps.
The following histogram shows the number of items sold at a grocery store at various prices:
Histogram titled Items Sold with Price Range on the x axis and Number of Items Sold on the y axis. Bar 1 is 0 to 2 dollars and 50 cents and has a height of 2. Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 0. Bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 4. Bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 2.
Which of the following data sets is represented in the histogram?
{0.75, 2.50, 2.51, 5.00, 5.01, 7.50, 7.51, 10.00}
{2.50, 2.50, 7.50, 7.50, 7.50, 7.99, 9.25, 10.00}
{2, 0, 4, 2}
{0.50, 2.00, 5.01, 6.25, 7.45, 7.50, 7.89, 9.99}
Answer:
The person above is wrong.
The answer is D. {0.50, 2.00, 5.01, 6.25, 7.45, 7.50, 7.89, 9.99}
Step-by-step explanation:
The histogram cannot start from 0.00 if the value of the number is higher than one half, or 0.50.
So, for option D, the number is at 0.50, so it can start.
70% of $56 is (round to the nearest cent)
Answer:
39.2
Step-by-step explanation:
Answer: 39.20
70% of 56 = [tex]\frac{70}{100}\\[/tex] x 56
= $ 39.20
=$ 39.20 (it is already rounded to the nearest cent)
hope it will help you...
Find LCM (22, 26, 351).
Answer:
7722
Step-by-step explanation:
LCM(22, 26, 351) = 7722
Can someone please help me with my homework number
7.
8.
9.
10
11.
12.
13.
14.
15.
16.
17., and 18.
Answer:
Below.
Step-by-step explanation:
7. 570
8. 850
9. 820
10. 670
11. 600
12. 700
13. 700
14. 900
15. 301
16. 194
17. 487
18. 539
I hope none of these are wong, stay safe! xx
The temperature rises 2°C each hour from 6:00 a.m. to 3:00 p.m. What is the total change in temperature during this period of time?
Answer:
18 degrees c
Step-by-step explanation:
9•2=18
Answer:
9 Times 2=18
Step-by-step explanation:
Carl filed a claim after he rear-ended another car, causing damage to each
car's bumper. Which deductible would he have to pay first, before he receives
a payment from the insurance company?
A. Collision
B. He would not have to pay any deductible because he was not at
fault.
C. Comprehensive
D. Premium
The deductible would he have to pay first, before he receives a payment
from the insurance company is: Comprehensive.
What is Comprehensive insurance?Comprehensive insurance can be defined as a insurance coverage that help to cover car expenses when your car damage as a result of accident or collision.
here, we have,
Brain will need to pay for comprehensive insurance before he can receive the claim or before the insurance company can pay him for the car damaged claim.
Therefore the correct option is C.
The deductible would he have to pay first, before he receives a payment
from the insurance company is: Comprehensive.
Learn more about Comprehensive insurance here:
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Answer:
collision
Step-by-step explanation:
jus did it.
Which coordinate pair identifies a point in the third quadrant of the coordinate plane?
A) (15, 10)
B) (15, −10)
C) (−15, 10)
D) (−15, −10)
Answer:
D) (-15, -10)
Step-by-step explanation:
The third quadrant is negative on the x and y side.