have my points and you will have more than just 5

After selling x pints of Boldly Buttered Popcorn icecream and y pints of Lovely Lavender Lemon on the charged of $10 for each, his profit equation is written as P = 6x + 6y = 6( x + y).

We have, Mr. McCoy's new ice cream shop. He sold two flavors of icecream. He sold his Boldly Buttered Popcorn ice cream and his Lovely Lavender Lemon ice cream. The quantity of sold Boldly Buttered Popcorn ice cream = x pints

The quantity of sold Lavender Lemon ice cream = y pints

Cost of each pint of ice cream = $4

Selling price of each pint of ice cream

= $10

First, total pints of icecream he sold

= pints of Boldly Buttered Popcorn ice cream+ pints of Lavender Lemon ice cream = ( x + y) pints

Now, Cost of (x + y) pints of ice cream

= $4 ( x + y)

Similarly, selling price of ( x + y ) pints of icecream = $ 10 ( x + y)

As we know, when selling price is greater than cost price then profit will occur. Equation for profit P = selling price - cost price = $ 10 ( x + y) - $4 ( x + y)

= 10 x + 10y - 4x - 4y

P = 6(x + y)

Hence, required equation is 6x + 6y.

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Complete question:

Mr. McCoy's new ice cream shop is doing great! Last month, he sold out of his Boldly Buttered Popcorn ice cream and his Lovely Lavender Lemon ice cream. He sold x pints of Boldly Buttered Popcorn and y pints of Lovely Lavender Lemon. Each pint cost him $4 to make, and he charged $10 for each. Write an equation for his profit or loss on ice cream selling.

It is most important to have a random sample in inferential statistics, particularly in making statistical inferences about a population based on the sample data.

Random sampling is a critical component of inferential statistics because it helps to ensure that the sample is representative of the population. When a sample is randomly selected, each member of the population has an equal chance of being included in the sample, which reduces the risk of bias in the results. Without a random sample, the results of statistical analyses may not be accurate or generalizable to the population, and the conclusions drawn from the data may be flawed or misleading.

Therefore, random sampling is crucial in making valid statistical inferences about a population.

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The correct answer is: C. The y-intercept of Joshua’s earnings equation is 80 and Martin’s is 75. The rate of change for Joshua’s equation is 40 while Martin’s is 35.

The y-intercept represents the value of the dependent variable (earnings) when the independent variable (number of paintings) is zero. In Joshua's equation, when p = 0, the commission earned (c) is given by 40(0) + 75 = 75. Therefore, Joshua's y-intercept is 75.

On the other hand, in Martin's table, when the number of paintings sold is 0, the commission earned is 115. Therefore, Martin's y-intercept is 115.

The rate of change represents how the dependent variable changes with respect to the independent variable. In Joshua's equation, the rate of change is given by the coefficient of p, which is 40. This means that for each additional painting sold, Joshua's commission increases by $40.

In Martin's table, we can calculate the rate of change by finding the difference in commissions for consecutive values of p. For example, when p increases from 1 to 2, the commission increases by 150 - 115 = 35. Therefore, Martin's rate of change is 35.

Comparing the y-intercepts, Joshua's is 80 and Martin's is 75. Comparing the rates of change, Joshua's is 40 and Martin's is 35. Therefore, the correct answer is C.

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The​ chi-squared statistic measures which of the "goods of fit". Therefore option B is correct.

The chi-squared statistic is a statistical measure that is used to test the goodness of fit between an observed frequency distribution and an expected frequency distribution. It measures how well the observed values fit the expected values and quantifies the differences between them.

The calculation of the chi-squared statistic involves comparing the observed and expected frequencies for each category and computing a sum of squared differences between them, divided by the expected frequency. The resulting value indicates the degree to which the observed frequencies differ from the expected frequencies.

In summary, it can be sais that the chi-squared statistic is used to assess whether the observed frequencies are consistent with the expected frequencies or not , and it is commonly used in hypothesis testing, particularly in testing for independence in contingency tables or testing the fit of a model to observed data.

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Answer:

(4,-1) Minimum

Step-by-step explanation:

Answer:

Step-by-step explanation:

Function f is symmetric around the point

(4,-1)

. This point is the

minimum

of function f.

Answer:

-38

Step-by-step explanation:

-25 + 13 = -38

-38  - 13 = -25

-25 x 4 = -100

formula: x - 13 = -25

Find the circumference of the circle:

Circumference = 2 x r x pi

Circumference = 2 x 200 x 3.14

Circumference = 1,256 feet.

4 inches/ 12 inches per foot = 0.333 ft.

Divide the circumference by the spacing:

1255/0.333 = 3,768

You will need 3,768 flowers

Answer:

60,000

Step-by-step explanation:

1,000,000 ×.06 = 60,000

it would be an increase of 60,000 in one years time

1,000,000 + 60,000 = 1,060,000

let's say for a second that that angle is θ, so we can say that

\(sin^{-1}\left(\cfrac{\sqrt{7}}{7} \right)=\theta \qquad therefore\qquad tan\left[ sin^{-1}\left(\cfrac{\sqrt{7}}{7} \right) \right]\implies tan(\theta ) \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{this really means}}{sin^{-1}\left(\cfrac{\sqrt{7}}{7} \right)=\theta}\implies \cfrac{\stackrel{opposite}{\sqrt{7}}}{\underset{hypotenuse}{7}}=sin(\theta )\)

let us notice something, the opposite side is positive, that means either the I or II Quadrant, however the sin⁻¹ function has a range constrained to π/2 to -π/2, which excludes the II Quadrant, so that means that θ must be on the I Quadrant, where the adjacent side or cosine or "x" is positive too.

now, let's use the pythagorean theorem to get the adjacent side for θ

\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=\stackrel{hypotenuse}{7}\\ a=adjacent\\ b=\stackrel{opposite}{\sqrt{7}}\\ \end{cases} \\\\\\ \pm\sqrt{7^2-(\sqrt{7})^2}=a\implies \pm\sqrt{42}=a\implies \stackrel{I~Quadrant}{+\sqrt{42}=a} \\\\[-0.35em] \rule{34em}{0.25pt}\)

\(tan(\theta )\implies \cfrac{\stackrel{opposite}{\sqrt{7}}}{\underset{adjacent}{\sqrt{42}}}\implies \cfrac{\sqrt{7}\cdot \sqrt{42}}{\sqrt{42}\cdot \sqrt{42}}\implies \cfrac{\sqrt{294}}{42}\implies \cfrac{7\sqrt{6}}{42}\implies \cfrac{\sqrt{6}}{6}\)

The amount of Chemical  B needed is 1.6 g.

This refers to a diagram that shows a series of one or more points, lines, line segments, curves, or areas that represents the variation of a variable when compared with that of one or more other variables.

The quantity of Chemical B is plotted against the quantity of  Chemical A.

Chemical B  is plotted on the vertical axis using the scale of 1 cm to represent 2 units. Chemical A is plotted on the horizontal axis using the scale of 1 cm to represent 1 unit.

Therefore, on the graph, the line passing through the origin of the graph shows that when  1.4 g of Chemical A is used  1.6 g of Chemical B is needed.

Chemical B  is plotted on the vertical axis using the scale of 1  cm to represent 2 units.

To get the amount of Chemical B is  on vertical axis =  2 grams

                                                                                             5 boxes

                                                                                       =0.4 g

Tracing the mass of Chemical A used 1.4 g it meets the line passing through the center at 4th line (4th box).

To get the amount of Chemical B is  on vertical axis = amount of Chemical B per box * the number of line (boxes).

To get the amount of Chemical B is  on vertical axis = 0.4 g * 4 lines (boxes)

                                                                                        = 1.6 g

Hence The amount of Chemical  B needed is 1.6 g.

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The expected number of times that both coins have come up tails will be 0.5 or 50%.

The probability of both coins coming up tails on a single flip is 1/4, since each coin has a 1/2 probability of coming up tails and the events are independent. If we flip the coins n times, the number of times both coins come up tails is a binomial random variable with parameters n and 1/4.

The expected value of a binomial random variable is given by np, where p is the probability of success on a single trial. In this case, we have p = 1/4, so the expected number of times that both coins come up tails in n flips is n(1/4). Therefore, if we flip the coins twice simultaneously, the expected number of times that both coins come up tails is (2)*(1/4) = 0.5.

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Answer: Choice G   \(\left| \frac{p-n}{n} \right|\)

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

Explanation:

Pick a positive number for p, and a negative value for n. Make sure that p is further away from 0 than n is (so that \(|p| > |n|\) is a true statement).

I'll go for these values

Replace every copy of p with 5, and replace every copy of n with -2. Then evaluate or simplify. Use your calculator if needed.

Let's start with choice F.

\(F = \left| \frac{p-n}{p} \right|\\\\F = \left| \frac{5-(-2)}{5} \right|\\\\F = \left| \frac{5+2}{5} \right|\\\\F = \left| \frac{7}{5} \right|\\\\F = \left| 1.4 \right|\\\\F = 1.4\\\\\)

Now onto choice G

\(G = \left| \frac{p-n}{n} \right|\\\\G = \left| \frac{5-(-2)}{-2} \right|\\\\G = \left| \frac{5+2}{-2} \right|\\\\G = \left| \frac{7}{-2} \right|\\\\G = \left| -3.5 \right|\\\\G = 3.5\\\\\)

Next up is evaluating the expression for choice H.

\(H = \left| \frac{p+n}{p-n} \right|\\\\H = \left| \frac{5+(-2)}{5-(-2)} \right|\\\\H = \left| \frac{5-2}{5+2} \right|\\\\H = \left| \frac{3}{7} \right|\\\\H \approx \left| 0.4286\right|\\\\H \approx 0.4286\\\\\)

Then let's compute expression J.

\(J = \left| \frac{p+n}{p} \right|\\\\J = \left| \frac{5+(-2)}{5} \right|\\\\J = \left| \frac{5-2}{5} \right|\\\\J = \left| \frac{3}{5} \right|\\\\J = \left| 0.6 \right|\\\\J = 0.6\\\\\)

Lastly, compute expression K.

\(K = \left| \frac{p+n}{n} \right|\\\\K = \left| \frac{5+(-2)}{-2} \right|\\\\K = \left| \frac{5-2}{-2} \right|\\\\K = \left| \frac{3}{-2} \right|\\\\K = \left| -1.5 \right|\\\\K = 1.5\\\\\)

-----------------------------------

To summarize, when plugging p = 5 and n = -2 into each expression, we got these results:

Expression G leads to the largest output.

Therefore, \(\left| \frac{p-n}{n} \right|\) has the largest value when p > 0 and n < 0.

The expression |(p-n)/n| has the greatest value. Therefore, option G is the correct answer.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, p is a positive number, n is a negative number, and |p| > |n|.

Let us consider p=5 and n=-2

Now,

F) |(p-n)/p|

= |(5-(-2))/5|

= |7/5|

= 1.4

G) |(p-n)/n|

= |(5-(-2))/(-2)|

= |7/(-2)|

= 3.5

H) |(p+n)/(p-n)|

= |(5-2)/(5-(-2))|

= |3/7|

= 0.43

J) |(p+n)/p|

= |(5-2)/5|

= |3/5|

= 0.6

K) |(p+n)/n|

= |(5-2)/2|

= |3/2|

= 1.5

The expression |(p-n)/n| has the greatest value. Therefore, option G is the correct answer.

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Answer:2 c^2 - 10c

Step-by-step explanation:

Answer:

Because the second one is diffrent.

Step-by-step explanation:

Answer:

because one of the numbers is a negative unlike the other

Step-by-step explanation:

The equation of the tangent line is y = 2x + 7.

The slope of the tangent line can be found by taking the derivative of the function f(x) = x^2 - 8. Differentiating f(x) with respect to x, we get f'(x) = 2x.

Substituting x = -3 into f'(x), we find that the slope of the tangent line at x = -3 is m = 2(-3) = -6.

Using the point-slope form of a line equation, we have:

y - y1 = m(x - x1),

where (x1, y1) represents the coordinates of the point (-3, 1) and m is the slope.

Substituting the values, we get:

y - 1 = -6(x - (-3)).

Simplifying further:

y - 1 = -6(x + 3).

Expanding the brackets:

y - 1 = -6x - 18.

Adding 1 to both sides, we get:

y = -6x - 17.

Therefore, the equation of the tangent line to the graph of f(x) = x^2 - 8 at the point (-3, 1) is y = -6x - 17.

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Answer:

$2.50

Step-by-step explanation:

x = age of the son

y = age of the father

x + y = 44

y = 2x

Substitute our second equation into our first equation.

x + 2x = 44. Combine the like terms.

3x = 44. Divide each side by 3

x = 44/3 or 14.7.

Substitute 44/3 into x for our second equation to find y

y = 2(44/3). Multiply 2 by 44/3

y = 88/3 or 29.3

Answer:

e

Step-by-step explanation:

Answer:

i don't think you can create a triangle

Step-by-step explanation:

you need it to be a<b+c

Answer:

A

Step-by-step explanation:

Answer:

20 cupcakes

15 cookies

Step-by-step explanation:

20*$1.75=$35

15*$0.75=$14.25

$35+$14.25=$49.25

Answer:

23 cupcakes and 12 cookies

Step-by-step explanation:

The total number of sweets each one has received ​is 7.

In this case, we can divide the initial 9 wine gums equally between the 3 people, which gives 3 wine gums each.

When they each receive an additional 4 wine gums, the total number of wine gums each person has is:

Jack: 3 + 4 = 7 wine gums

Jill: 3 + 4 = 7 wine gums

Friends: 3 + 4 = 7 wine gums

So each person has received a total of 7 wine gums.

A word problem is a type of mathematical problem that is presented in a narrative or descriptive form, rather than a simple equation or numerical expression.

Word problems require the reader to interpret and extract relevant information from the text, and then use mathematical reasoning to solve the problem.

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The first part of the question is:

Jack and Jill's mother gave them 9 wine gums to share

Answer:

Graph A

Step-by-step explanation:

The required bearing angle of town B from Thomas is 75°.

We have,

Bearing is basically an angle that is measured clockwise from the north. Bearing are generally written in three figure.

Given that

Thomas is facing towards town A, which is at a bearing of 300°.

Implies that town A is 300° from north.

If Thomas turns 135° clockwise, then he faces towards town B,

The bearing angle will be 300+135 = 435°

Since, one complete round makes angle 360°, therefore

The required bearing angle = 435 - 360 = 75

The bearing angle of town B from Thomas is 75°.

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Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

Answer:

(9×3)+(4×2)

Step-by-step explanation:

Let a represent the price of books

Let b represent the price of magazines

Alicia purchase 3 books for $9

She also purchased 2 magazines for $4

(9×a) +(4×b)

= (9 ×3) + (4×2)

= 27+8

= 35

Answer:

No

Step-by-step explanation:

x=(b-5)/c≠(5-b)/c

supposedly

b=6

c=1

x=6-5/1=1

x=5-6/1= -1

1≠ -1

Answer:

No

Step-by-step explanation:

x = b - 5 / L equal to - (5 - b) / L

Spherical coordinates are a system of coordinates that describe points in three-dimensional space using a distance from the origin, an angle of inclination from the positive z-axis, and an angle of rotation around the z-axis.

To calculate the triple integral of f(x, y, z)=x2 y2 over the region rho≤2 using spherical coordinates, we first need to express the function in terms of the spherical coordinates.

We know that in spherical coordinates,

x = ρ sin(φ) cos(θ)
y = ρ sin(φ) sin(θ)
z = ρ cos(φ)

where ρ is the radial distance, θ is the azimuthal angle, and φ is the polar angle.

So, f(x, y, z) = x2 y2 can be expressed as

f(ρ, φ, θ) = (ρ sin(φ) cos(θ))2 (ρ sin(φ) sin(θ))2

= ρ4 sin2(φ) cos2(θ) sin2(φ) sin2(θ)

= ρ4 sin4(φ) cos2(θ)

Now, we can set up the triple integral using spherical coordinates.

∫∫∫ f(ρ, φ, θ) ρ2 sin(φ) dρ dφ dθ

= ∫0^2π ∫0^π/2 ∫0^2 f(ρ, φ, θ) ρ2 sin(φ) dρ dφ dθ

= ∫0^2π ∫0^π/2 ∫0^2 ρ4 sin4(φ) cos2(θ) ρ2 sin(φ) dρ dφ dθ

= ∫0^2π ∫0^π/2 ∫0^2 ρ6 sin5(φ) cos2(θ) dρ dφ dθ

= ∫0^2π ∫0^π/2 [ρ7/7 sin5(φ) cos2(θ)]0^2 dφ dθ

= ∫0^2π ∫0^π/2 32/7 sin5(φ) cos2(θ) dφ dθ

= 32/7 ∫0^2π cos2(θ) dθ ∫0^π/2 sin5(φ) dφ

= 32/7 [π sin6(π/2)/6]

= 32π/21

Therefore, the triple integral of f(x, y, z) = x2 y2 over the region rho≤2 using spherical coordinates is 32π/21.

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