a store sells cereal for $2.99 and milk for $4.99. a shopper wants to spend at least $12 but no more than $25 on groceries. what is one possible combination of cereal and milk the shopper can buy and still stay in their budget?

The profit function made by the cell phone manufacturer is given by -0.09x² -1300x - 750000

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

The profit function is given as:

Profit = Revenue - Cost

Cost = 2000x + 750000, Revenue = -0.09x² + 700x, hence:

Profit = -0.09x² + 700x - (2000x + 750000) = -0.09x² -1300x - 750000

The profit function made by the cell phone manufacturer is given by -0.09x² -1300x - 750000

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Answer:

3/1

Step-by-step explanation:

3/1 the ratio is 3:1

Answer:

The mileage of the car is 30 miles per gallon

Step-by-step explanation:

Here, we are interested in calculating the gas mileage of the car.

The gas mileage refers to the number of kilometers the car can travel on a particular amount of fuel.

The full capacity of the car tank is 15 gallon

Now after traveling 300 miles, it stops for gas and 10 gallons of fuel are added to make the car full again.

What this means is that the car used up a total of 10 gallons of fuel for the 300 miles

Thus, the gas mileage of the car is that it used 10 gallons to travel a total of 300 miles

Expressing this as a ratio, we have 300 miles/10 gallons = 30 miles/ gallon

This means that on a gallon of fuel, the car can travel 30 miles

Answer:

6

Step-by-step explanation:

the area is six lol yep that's it

Answer:

6 m

Step-by-step explanation:

Multiply the short side by the long side. 2*3=6

As per the concept of average rate of change, the best estimate for the number of miles Michele would cycle in 2 hours is 24 miles

Here we have given the scatter plot shows the relationship between the number of hours Michele cycles on different days and numbers of miles traveled each day.

Then the average rate of change is calculated as,

=> (5 - 2) / (0.50 - 0.25)

=> 3/0.25

=> 12.

Then the best estimate for the number of miles Michele would cycle in 2 hours is calculated as,

=> 2 x 12

=> 24.

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For a general junk food has collected data on the last 10,000 boxes,

a) The average weight of a box of their cereal is "= Average ( A:10, A : 10010)."

b) The standard deviation of the weight of their boxes of cereal "= STD ( A:10, A : 10010)."

c)

We have a general junk food has collected data on the last 10,000 boxes of cereal they produced. We have no information about the data points related to 10000 boxes of cereal produced by general junkfoods. But we can use Excel function, Let the 10000 boxes values be lie in Excel sheet from row 10 to 10010.

a) the average weight of a box of their cereal is calculated by the following excel function, " = average ( range)"

that is ' = Average ( A:10, A : 10010)'

b) For standard deviations the weight of their boxes of cereal is calculated by the following excel function , "= STD ( A:10, A : 10010)."

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Complete question:

1. Using excel, answer the following questions. Write down the Excel formulas used at each step.1. General Junkfoods has collected data on the last 10,000 boxes of cereal they produced.a. What is the average weight of a box of their cereal

b. what is the standard deviation of the weight of their boxes of cereal? c. what are 1 sigma, 2 sigma and 3 sigma values for this data? d. draw a bell graph showing these sigma values (av 1sigma, av 2sigma, av 3sigma) and the usl and lsl.

the stock's reward-to-risk ratio is approximately 6.97.

The stock's reward-to-risk ratio can be calculated using the formula:

Reward-to-Risk Ratio = (Expected Return - Risk-Free Rate) / Beta

Plugging in the given values:

Expected Return = 11.18%

Risk-Free Rate = 3.1%

Beta = 1.16

Reward-to-Risk Ratio = (11.18% - 3.1%) / 1.16

Calculating the result:

Reward-to-Risk Ratio = 8.08% / 1.16 ≈ 6.97

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Answer:

5

Step-by-step explanation:

Number of players injured in a game count the other side

This is a photo of answer

Answer:

  see attached

Step-by-step explanation:

The constants in the function shift the absolute value graph right 4 units and up 2 units. The attachment shows the translated function.

Answer:

Let me try...

Step-by-step explanation:

let's combine like terms first to simplify the equation

we need to only combine the variables with the same variable.

3a+5a would make 8a

and 4b+10b would be 14b

but we cannot combine 8a and 14b

so the equation remains as 8a+14b

Final Answer: \(8a + 14b\)

Steps/Reasons/Explanation:

Question: Simplify \(3a + 4b + 5a + 10b\).

Step 1: Collect like terms.

\((3a + 5a) + (4b + 10b)\)

Step 2: Simplify.

\(8a + 14b\)

~I hope I helped you :)~

Answer:

You are correct! good job!

Step-by-step explanation:

Difference between polygon curves and non-polygon curves is explained with the help of a diagram.

Polygons are classified according to the number of sides (or vertices). Classification is explained with the help of suitable figures in the table listed in section 3.2.1. Students must understand this concept and remember the classifications given.

A diagonal is a line segment connecting two non-consecutive vertices of a polygon.

After that Convex and concave polygon are discussed. Before moving to angle sum property students will learn about regular and irregular polygons.

A regular polygon is both equiangular and equilateral.

A rectangle is equiangular but not equilateral.

A square has sides of equal length and angles of equal measure that's why it is considered as a regular polygon.

Talking about angle sum property; Angle sum property states that the sum of measures of the three angles of a triangle is 180°.

After going through the introductory section students about the above discussed topics need to solve the problems of exercise 3.1.

Sum of the measure of the exterior angles of a polygon is another topic that will be discussed in this chapter.

The sum of the measures of the external angles of any polygon is 360°.

Various kinds of quadrilaterals are explained like trapezium, parallelogram, etc. Point to be noted that kite is also a special type of quadrilateral. Angles of parallelogram and some special parallelograms are also discussed.

The opposite angles of a parallelogram are of equal measure.

A short note about diagonal of parallelogram is given that in general, diagonals of a parallelogram are not of equal length.

Some special parallelograms are listed in this section like rhombus, square and rectangle.

Properties of all quadrilateral are an important part of this chapter. Students must learn all the properties listed.

Answer:

What is it i can probably help

Step-by-step explanation:

\(since \to : x \sqrt[y]{ {n}^{z} } = x( {n}^{ \frac{z}{y} } ) \\ then \: lets \: solve \: both \: values \: separately \to : \\ \underline{ \boxed{solution \: to \: \boxed{a}}} \\ 120 \sqrt[3]{ {n}^{a} } = 3 \sqrt{n} (40 \sqrt[6]{n} ) \\ 120 \sqrt[3]{ {n}^{a} } = 3 \sqrt{n} \times 40 \sqrt[6]{n} \\ 120 \sqrt[3]{ {n}^{a} } = 120 (\sqrt{n} \times \sqrt[6]{n} ) \\ \sqrt[3]{ {n}^{a} } = (\sqrt{n} \times \sqrt[6]{n} ) \\ {n}^{ \frac{a}{3} } = {n}^{ \frac{1}{2} } \times {n}^{ \frac{1}{6} } \\ \frac{a}{3} = \frac{1}{2} + \frac{1}{6} \\ \frac{a}{3} = \frac{4}{6} \\ 6a = 12 \\ a = \frac{12}{6} = 2 \\ \underline{ \boxed{a = 2 \:}} \\ \\ \: \underline{ \boxed{solution \: to \: \boxed{b}}} \\ 27 \sqrt[4]{ {n}^{b} } = 3 \sqrt{n} (9 \sqrt[4]{n} ) \\ 27 \sqrt[4]{ {n}^{b} } = 3 \sqrt{n} \times 9 \sqrt[4]{n} \\ 27 \sqrt[4]{ {n}^{b} } = 27 (\sqrt{n} \times \sqrt[4]{n} ) \\ \sqrt[4]{ {n}^{b} } = (\sqrt{n} \times \sqrt[4]{n} ) \\ {n}^{ \frac{b}{4} } = {n}^{ \frac{1}{2} } \times {n}^{ \frac{1}{4} } \\ \frac{b}{4} = \frac{1}{2} + \frac{1}{4} \\ \frac{b}{4} = \frac{3}{4} \\ 4b = 12 \\ b = \frac{12}{4} = 3 \\ \underline{ \boxed{b = 3 \:}} \\ hence \to : \\ \underline{ \underline{\boxed{a = 2 \:}} \underline{ \boxed{b = 3 \:}}}\)

The integral of f(x) from 1 to 4 is 6.7.

To solve this problem, we can use the property of integrals known as additivity. This states that if we have a function f(x) and we split up its integral into two separate intervals, say from a to b and from b to c, then the integral of f(x) over the entire interval from a to c is equal to the sum of the integral of f(x) from a to b and the integral of f(x) from b to c.
Using this property, we can write:
∫1 to 5 f(x)dx = ∫1 to 4 f(x)dx + ∫4 to 5 f(x)dx
We know that ∫1 to 5 f(x)dx = 10 and ∫4 to 5 f(x)dx = 3.3, so we can substitute these values in and solve for ∫1 to 4 f(x)dx:10 = ∫1 to 4 f(x)dx + 3.3
Simplifying this equation, we get:
∫1 to 4 f(x)dx = 6.7
Therefore, the integral of f(x) from 1 to 4 is 6.7.

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Answer:

\(\frac{3}{4}\)

Step-by-step explanation:

Vowels: A, E, I, O, U

There are only 2 vowels out of 8 on the spinner, which means that 6 out of 8 aren't vowels.

\(\frac{6}{8}\) = \(\frac{3}{4}\)

Hope this is helpful

The fewest possible number of green marbles in the bag is 5.

As per the stated question.

Since there is a 35% possibility of obtaining a red, the same percentage must apply to getting a white.

35+35=70%

You have a 100% probability of selecting a marble,

70+30=100

The probability that you will select a blue or green stone must thus be 30%.

And if there are B blue marbles, then there will be 5 green marbles.

B+5B=30%

6B=30%

Blue=5%

Green = 30-5=25%

Thus, the ratio becomes.

Red: White: Green : blue

35  : 35     :       25:    5

Dive each by 5.

7    : 7      :      5   :   1

Thus, the fewest possible number of green marbles in the bag is 5.

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The complete question is-

A bag contains red marbles, white marbles, green marbles, and blue marbles. There are an equal number of red marbles and white marbles, and five times as many green marbles as blue marbles. There is a 35% chance of selecting a red marble first. What is the fewest possible number of green marbles in the bag?

Answer:A) -4/3 B) 1/2 C) -5/4

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

For A) let (x1, y1) = (8, -7), (x2, y2) = (5, -3)

Slope = (-3 -(-7)) / (5 - 8) = 4/-3

For B) let (x1, y1) = (-5, 9), (x2, y2) = (5, 11)

Slope = (11 - 9) / (5 - (-5)) = 2/10 = 1/2

For C) let (x1, y1) = (-8, -4), (x2, y2) = (-4, -9)

Slope = (-9 -(-4)) / (-4 - (-8)) = -5/4

The particular solution to the given system is: x_p(t) = (-1/17)cos(4t) + Bsin(4t) and y_p(t) = Ccos(4t) + Bsin(4t). This particular solution satisfies the given system of equations.

To find a particular solution using the method of undetermined coefficients, we assume that the particular solution can be written in the form of:

x_p(t) = A cos(4t) + B sin(4t)
y_p(t) = C cos(4t) + D sin(4t)

Taking the derivatives, we have:

x'_p(t) = -4A sin(4t) + 4B cos(4t)
y'_p(t) = -4C sin(4t) + 4D cos(4t)

Substituting these into the given system of equations:

-4A sin(4t) + 4B cos(4t) = A cos(4t) + B sin(4t) - 17(C cos(4t) + D sin(4t)) + 4cos(4t)
-4C sin(4t) + 4D cos(4t) = A cos(4t) + B sin(4t) - (C cos(4t) + D sin(4t))

Simplifying these equations, we get:

(-17A + 1)cos(4t) + (17B - 17C)sin(4t) = 4cos(4t)
(A - C)cos(4t) + (B - D)sin(4t) = 0

Comparing the coefficients of cos(4t) and sin(4t) on both sides, we can equate them to find the values of A, B, C, and D:

-17A + 1 = 4
17B - 17C = 0
A - C = 0
B - D = 0

Solving these equations, we find:

A = -1/17
B = C
D = B

Therefore, the particular solution to the given system is:

x_p(t) = (-1/17)cos(4t) + Bsin(4t)
y_p(t) = Ccos(4t) + Bsin(4t)

This particular solution satisfies the given system of equations.

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The algebraic expression with fractional exponents that is equivalent to the given radical expression is \(x^{\frac{3}{5} }\).

Variables, constants, and mathematical operations (such as addition, subtraction, multiplication, division, and exponentiation) can all be found in an algebraic equation.

In algebra and other areas of mathematics, algebraic expressions are used to depict connections between quantities and to resolve equations and issues. A radical expression is any mathematical formula that uses the radical (also known as the square root symbol) sign.

To convert the radical expression \(\sqrt[5]{x^{3} }\) into an algebraic expression with fractional exponents, we use the following rule:

\(a^{1/n}\) = (n-th root of a)

In this case, we have:

\(\sqrt[5]{x^{3} }\) = \((x^{3})^{\frac{1}{5} }\)

= \(x^{\frac{3}{5}}\)

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The number of bags of fiber stuffing needed to fill the cones is 52 bags.

Given:

Height (h) = 10 inches

Radius (r) = 4 inches

To calculate the number of bags of fiber stuffing needed to fill the ice cream cones, we first need to calculate the volume of a single cone ( cone + hemisphere) using its height and radius.

The volume of a cone can be calculated using the formula:

= (1/3) πr²h

The volume of a hemisphere can be calculated using the formula:

= (2/3) πr³

Substituting these values into the formula, we can find the volume of a single cone:

V = (1/3) π × 4² × 10 + (2/3)π × 4³

V = 167.5 + 134.04

V = 301.54

V ≈ 167.5516 cubic inches (rounded to 4 decimal places)

Now, to determine the number of bags of fiber stuffing needed, we divide the total volume of the cones by the volume that can be filled by a single bag of fiber stuffing:

Number of bags = Total volume of cones / Volume filled by a single bag

Total volume of cones = Volume of a single cone x Number of cones

Total volume of cones = 167.5516 cubic inches x 125 cones

Total volume of cones ≈ 37692.66 cubic inches (rounded to 2 decimal places)

Number of bags = 37692.66 cubic inches / 720 cubic inches (per bag)

Number of bags ≈ 52 (rounded to nearest whole number)

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Accumulate $48,000 by July 1, 2032, Carla Vista must invest the initial amount of $19,000 at an annual interest rate of approximately 5.25%.

To determine the exact annual rate of interest, we can use the concept of compound interest and the formula for calculating the future value of an investment. In this case, we have the present value (PV) of $19,000, the future value (FV) of $48,000, and the time period of 10 years.

Using a financial calculator or spreadsheet software, we can input these values and solve for the annual interest rate (i). The formula to calculate the future value is:

FV = PV * (1 + i)^n

Where:

FV = Future value

PV = Present value

i = Annual interest rate

n = Number of years

Rearranging the formula to solve for i:

i = (FV / PV)^(1/n) - 1

Plugging in the given values, we have:

i = ($48,000 / $19,000)^(1/10) - 1

Evaluating this expression using a financial calculator or spreadsheet, we find the exact annual interest rate required for Carla Vista to accumulate $48,000 by July 1, 2032.

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Answer: 0.10175

Step-by-step explanation:

First, bring the decimal points to the right for both numbers, to be a total of 5 decimal points to the right. Then, with the numbers 25 and 407, multiply them, and we get 10175. Then, we must bring the 5 decimal points back, and we end up with 0.10175.

Answer: 0.10

Step-by-step explanation:

on time4llearning

Answer:

False, the (8,27) ordered pair throws it off.  It would need to be (8,24).

Step-by-step explanation:

Answer:

1) At least 6.

2) $2194.8

3) $2326.49

4) 38 mph on average.

Step-by-step explanation:

Comment if you do need the steps

Answer:

10.) x = 29

11.) x = 144

Hope this helps!

Answer:

theres something call a calculator but anyways lol the answer is 32472

Answer:

32,472 is the correct answer

The name of radicals are cation and anion

A radical is an atom, molecule, or ion that has an unpaired valence electron. A notable example of a radical is the calcium ion

A radical can be electrically stable, positively charged and negatively charged.

Positively charged radicals are called cations and the negatively charged radicals are called anions.

If a balanced atom loses one or more electrons, it will become a positively charged cation.And if a balanced atom gains one or more electrons, it will become negatively charged anions.

Therefore the names of radicals are cations and anions i.e positively charged radicals and negatively charged radicals respectively.

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Answer:

Step-by-step explanation:

Diameter = 28 cm

therefore, radius = 28 / 2 = 14 cm

Circumference = 2 π r

= 2 × 22 / 7 × 14

= 88 cm

Hope this helps

plz mark as brainliest!!!!!

Answer:

88cm

Step-by-step explanation:

The formula is Diameter x pi (3.14)

The correct answer is OD. Although the word "then" appears in the statement, it is not used as a logical connective. So the statement is not compound.

The statement "If Laura sells her quota, then Marie will be happy" is a single declarative sentence. It consists of a conditional clause ("If Laura sells her quota") and a consequent clause ("then Marie will be happy"). However, these two clauses are not independent statements that can stand alone. Instead, they are connected in a cause-and-effect relationship. The word "then" in this context is not functioning as a logical connective, but rather as an indicator of the consequent clause.

A compound statement is formed by combining two or more independent statements using logical connectives such as "and," "or," or "if...then." In the given statement, there is no logical connective joining two independent statements.

Therefore, the statement is not compound.

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Answer:

y = -4x + 2

Step-by-step explanation:

1) Find perpendicular slope

1/4 = -4

2) Plug in x and y

y = -4x + b

((((( y = -6, x = 2 ))))))

-6 = -4(2) +b

-6 = -8 + b

2 = b

3) Return to equation but plug in b, but not x and y

y = -4x + 2