Describe the x-values at which the function is differentiable. (Enter you answer using interval notation.)

f(x) = (x+2)^2/3

Answer:

$630

Step-by-step explanation:

This problem can be solved using linear programming. Let x be the number of 5-oz containers and y be the number of 10-oz containers. The constraints are:

x + y = 55 (total number of containers)

5x + 10y = 400 (total amount of cheese in ounces)

x >= 0, y >= 0 (containers must be non-negative)

The objective is to maximize the revenue, which is given by 9x + 17y.

Using a linear programming solver, we find that the maximum revenue is obtained when x = 40 and y = 15. The maximum revenue is 9x + 17y = 9 * 40 + 17 * 15 = $630.

So, the deli owner should sell 40 5-oz containers and 15 10-oz containers to maximize his revenue, which is $630.

Answer:

150

Step-by-step explanation:

If the length of the living room is 10, and the width is 15, then we can use the equation:

10 × 15 = 150

Therefore, the length × width of the living room is 150.

Answer:
4 1/2 divided by 2/5 equals to 45/4
Simplified : 45/4 = 11 1/4

The values of the variables are b = 90, c = 80 and d = 100

From the question, we have the following parameters that can be used in our computation:

The parallelogram

Using the properties of parallelogram, we have the following equations

b - 10 + b + 10 = 180

d = b + 10

c = b - 10

Solving the first equation, we have

2b = 180

So, we have

b = 90

This means that

d = 90 + 10 = 100

c = 90 - 10 = 80

Hence, the value of d is 100 degrees

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In Δ AMG the definition, property, postulate, or theorem that justifies each statement are given as follows -

5. Option C: Whole Greater Than Its Part Property.

6. Option B: Exterior Angle Inequality Theorem.

7. Option E: If Unequal Sides, then Unequal Angles.

What is a line segment?

A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction.

Line segment AD is given by the combination of segments AM and MD, hence it's length is given by:

AD = AM + MD.

Line segment length's are never negative nor zero, hence -

AD > AM.

AD > MD.

Therefore, whole is grater than part.

The exterior angle inequality theorem states that the measure of any of the exterior angles of a triangle is greater than either of the opposite angles, hence -

m∠DMG > m∠A.

m∠DMG > m∠G.

Therefore, exterior angle inequality theorem is shown.

It is given that the length of line segment AM is less than the length of line segment AG.

Applying the law of sines, it is seen that -

AM/sin G = AG/sin M

AG = AM sin M / sin G

Since AG < AM, sin(M) < sin(G) and m∠AGM < m∠AMG.

Therefore, this shows that if unequal sides, then unequal angles.

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On the final, the score that Sharon would need to have in order to have the average score of 80 is 3.

Let's call the score Sharon needs on the final exam "x".

The total of all 6 test scores is: 77 + 84 + 72 + 65 + 96 + x

The average of all 6 test scores is: (77 + 84 + 72 + 65 + 96 + x) / 6 = 80

Expanding and solving for x, we have:

77 + 84 + 72 + 65 + 96 + x = 80 * 6

477 + x = 480

Subtracting 477 from both sides, we get:

x = 480 - 477

x = 3

So, Sharon needs a score of 3 on the final exam in order to have an average score of 80.

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the value of the variable in circle N is: 19.60 unit.

The formula for a circle is (x - h)² + (y - k)² = r², where r is the radius and (x, y) is the circle's centre. In the circle graph, the variables h and k stand for changes in the horizontal or vertical axis. The radius, which is often denoted by the variable "r," is the distance between a circle's centre and its edge. The definition of a circle is the collection of all points that are equally spaced apart from a given point; this fixed point serves as the circle's centre, and the radius of the circle is the separation between the sets of points from the centre.

Given that,

the variable becomes = x

16(16 + 8) = x²

or, x² = √384

or, x = 19.60 unit

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Answer:

15%

Step-by-step explanation:

The answer is the answer.

Given that the adult tickets sold were 5 less than 3 times the number of student tickets and adult tickets sold for $9 each, we can set up the equation:

6s + 9(3s - 5) = 1506

This simplifies to:

6s + 27s - 45 = 1506

To find the number of student tickets sold, we can solve this equation for s.

Combining like terms:

33s - 45 = 1506

Adding 45 to both sides:

33s = 1551

Dividing both sides by 33:

s = 46.9

The number of student tickets sold is 46.9.

Please note that this is not an integer and it is not possible to have a fraction of a ticket, therefore it is not accurate.

It means that this solution can't be correct.

A. He arrives at Nuneaton at 14:01; B. The trip was 100 minutes. C. Vikram will not be on time to catch the train.

Based on the table, Jum should have arrived at 13:54; however, we know he was 7 minutes late. Then, let's calculate the time:

13:54 + 7 minutes = 14:01

Let's calculate the time using the arrival and departure times:

14:01 - 12:21 = 100 minutes considering there are 39 minutes till 13:00 and 61 minutes until 14:01 (39+61 = 100)

Vikram arrived on time in Nuneaton, which means he arrived at 10:28 and then, he was there for 3 hours and 30 minutes:

10:28 + 3:30 = 13:58

This shows he will not be on time to catch the 13:54 train

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Here k is 4 and the table represent a Proportions relationship, for the linear equation x = yk

A proportional relationship means that two or more things are directly proportional, or that the quantities increase or decrease according to equivalent ratios. We can state this proportional relationship with the formula, y = kx. Y and x here are the quantities that are proportional to each other.

We say that two variables are proportional if they can be written as y=kx y = k x , where k is the constant of proportionality. If y and x are proportional, then for any pair of x and y , the ratio yx=k y x = k should be the same

The following characteristics are true of the graph of all proportional relationships. The graph is linear. The line of the graph passes through the origin. The slope of the line is the constant of proportionality.

Let independent variable be x while dependent variable be y

Here we see that for every variable of x, y is 1/4 times x, so we have the linear equation,

x = y/4

With the line the graph forms is (see attachment)

As, Proportions relationship is  y=kx or x = y/k

Here, k is 4 and the table represent a Proportions relationship.

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Answer:

a will be going from -3 to the right

Step-by-step explanation:

a/3 +3 >2

a/3 > -1

a> -3

Answer: x = -2.

X is negative 2.

Solving an equation with variables on both sides:

1. expand to get rid of the parenthesis

[tex]4x+5x-2=-16+2x[/tex]

2. combine like terms

[tex]9x-2=-16+2x[/tex]

3.  use inverse operations to get variable terms on one side and the integer term on the other side

[tex]9x-2x-2+2=-16+2x-2x+2[/tex]

4. combine like terms

[tex]7x=-14[/tex]

5. isolate for x

[tex]x=\frac{-14}{7}[/tex]

x= [tex]x=-2[/tex]

The expression that represents the sum of ( -4x - 7 ) and ( 6x - 4 ) in simplest terms is 2x - 11

Given the expressions in the question;

( -4x - 7 ) and ( 6x - 4 )

To find the sum of the two expression, replace the 'and' with '+' and simplify.

( -4x - 7 ) and ( 6x - 4 )

( -4x - 7 ) + ( 6x - 4 )

-4x - 7 + 6x - 4

Collect like terms

-4x + 6x - 4  - 7

Add -4x and 6x

2x - 4  - 7

Add -4 and -7

2x - 4  - 7

2x - 11

Therefore, the simplified form of the expression is 2x - 11

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The number of the outcomes at two of the coins will turn up as head is 11

In mathematics, a combination or combinations are all the possible groupings that can be made of a given number of elements, without repeating them and regardless of the order in which they are found.

To solve this problem the formula and the combination procedure we must use is:

C(n/r) = n! / [(n-r)! *r!]

Where:

Information about the problem:

Applying the combination formula we have:

C(n/r) = n! / [(n-r)! *r!]

C(4/2) = 4! / [(4-2)! *2!]

C(4/2) = 4! / [(2)! *2!]

C(4/2) = 4*3*2! / [(2)! *2!]

C(4/2) = 4*3/2!

C(4/2) = 6

C(4/1) = 4! / [(4-1)! *1!]

C(4/1) = 4! / [(3)! *1!]

C(4/1) = 4*3! / [(3)! *1!]

C(4/1) = 4 / [1!]

C(4/1) = 4

C(4/0) = 4! / [(4-0)! *0!]

C(4/0) = 4! / [(4)! * 0!]

C(4/0) = 1

Total number of outcomes = 4C0 + 4C1 + 4C2

Total number of outcomes = 1 + 4 + 6

Total number of outcomes = 11

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Answer:

1, 0, -1, -2, -3, -4, -5, 3, 4, 5, 6, 7, 8, 9

Step-by-step explanation:

The balance after 2 years is $318.27

what is compound interest?

Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.

[tex]A=P{(1 +\frac{r}{n})^{nt}[/tex]

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

[tex]A=300{(1 +\frac{0.03}{1})^{1(2)}[/tex]

A=300(1.003)² = 318.27

The balance after 2 years is $318.27

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The conversion and subtraction in the decimal base gives;;

a)  12 ten

b)  73 ten

The number base serves as the basis for carrying out a mathematical expression. In this case, we have been told that the number base in which the numbers that have been give are is base five and we are to convert the numbers to the decimal base.

For the first problem, we have;

34 five = 19 ten

12 five = 7 ten

We then have;

19 - 7 = 12 ten

For the second problem;

432 five = 117 ten

134 five = 44 ten

Then;

117 - 44 = 73 ten

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you can calculate by following

lambda = Nt+1/N t = finite rate of increase of the population in one time step (often 1 yr). r

lambda = Nt+1/N t = finite rate of increase of the population in one time step (often 1 yr). r = ln[lambda] = ln[Nt+1/N t] = instantaneous rate of increase; lambda = er , where e = 2.71828 (= natural log or log to the base e).

λ is a constant whose value is determined by the per capita birth rate minus the per capita death rate over discrete time periods.

Lambda is called the finite population growth rate that gives the proportional change in. population size from one time period to the next: λ = Nt+1.

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Answer:

The final price of the swimsuit is $84.00.

To calculate the final price, first calculate the original price after the 20% discount:

Original Price x (1 - Discount) = Final Price

$140 x (1 - 0.2) = $112

Then, calculate the final price after the additional 40% discount:

$112 x (1 - 0.4) = $84.00

The mean of the sampling distribution of p is 0.45, (b) the standard deviation of p is 0.02, (c) yes, the Normal approximation can be used, and (d) the probability that more than half of the sample is in favour is 2.2523.

A) The mean of the sampling distribution of p is equal to the population proportion who favour giving vouchers to parents, which is 0.45.

B) The standard deviation of p can be calculated using the formula:

σ = √(p(1-p) / n)

where p = 0.45 and n = 500.

The standard deviation of p is approximately 0.02. This value represents the variability of the proportion of adults in samples of size n = 500 who favour the idea.

C) In order to use the Normal approximation for the distribution of p, the sample size n must be large enough such that np ≥ 10 and n(1-p) ≥ 10. For this problem, n = 500, p = 0.45, np = 500 * 0.45 = 225, and n(1-p) = 500 * (1-0.45) = 275, which are both larger than 10, so the Normal approximation can be used.

D) The probability that more than half of the sample is in favour can be found by subtracting the area under the standard normal curve to the right of z = 0.5 from 1.

z = (p - 0.45)/0.02

= (0.5 - 0.45)/0.02

= 2.2523

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If an object is moving in a uniform circular motion, its period is given by the time interval for the object to make one revolution.

The movement of a body follows in a circular path is called a circular motion. The motion of a body moving with a constant speed along a circular path is called Uniform Circular Motion.

In the case of uniform circular motion, the acceleration is:

ar=v2/r=ω2r

If the mass of the particle is m, we can say from the second law of motion that:

F=ma

mv2/r= mω2r

With the number of revolutions displacements from the initial point to the final point also changes. As both these factors change velocity also changes. But in that uniform circular motion what remains constant is speed.

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Answer: x = k-y+

Step-by-step explanation:

u = x-k+y

"or -x = -k+y-u "

"or x = k-y+u

Answer:

i believe James is 7

Step-by-step explanation:

so, James (j) is 2x as old as Zack (z) so one way to get to 20 is by adding 5, 4 times, that leaves the extra 3 which we add to James's age and there for making Zach 5 years old.  

5 < 7

Answer:

The first answer

Step-by-step explanation:

Area of a rectangle

a = l x w

Area of a circle

a = [tex]\pi r^{2}[/tex]

Set them each to each other and substitute 8 for w and for r

l x 8 = [tex]\pi 8^{2}[/tex]  We can divide both sides by 8

l = [tex]\pi[/tex]8

Answer:

below

Step-by-step explanation:

x = one number

x+23 = second number       <======added together the equal  -14

x   +    x+23    =   -14

2x = -37

x = -18.5       other number = x+23 =  4.5

Answer:

Step-by-step explanation:

Sharon has taken 5 tests so far, and the final will make that 7, since it counts as 2 tests.  If her average is 80 then her total score on all tests must be 80 x 7 = 560.

So far she has scored a total of 77 + 84 + 72 + 65 + 96 = 394

She must therefore score

560 - 394 = 166

on the "double" final.

Her percentage score on the final must be 166/2 = 83.

According to the problem the missing side length is 7 yd.

Length is a concept used in various contexts to measure the size of an object or distance between two points. In geometry, length refers to the longest dimension of an object. In physics, length is a fundamental quantity that is used to measure the distance between two points. It is usually expressed in units such as meters, centimeters, and millimeters.

The missing side length is 7 yd. This is because the shape formed by these sides is a right triangle, and the Pythagorean theorem can be used to calculate the length of the missing side. The equation is [tex]a^{2} +b^{2} =c^{2}[/tex], where a and b are the two known side lengths and c is the missing side length. In this case, a = 6 yd and b = 8 yd, so [tex]c^{2} = 6^{2} +8^{2} =100[/tex]. The square root of 100 is 10, so c = 10 yd.

However, since the question asks for the missing side length in yards, the answer is 7 yd (10 yd divided by 1.4 to convert to yd).

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