Prove the theorems below: Let f:(a,b) → R be continuous. Let ce (a,b) and suppose f is differentiable on (a, c) and (c,b). (i) if f'(x) < 0 for x € (a, c) and f'(x) > 0 for xe (c,b), then f has an absolute minimum at c. (ii) if f'(x) > 0 for x € (a, c) and f'(x) < 0 for xe (c, b), then f has an absolute maximum at c.

Answer:

Blake = $300

Josh = $100

Step-by-step explanation:

3:1

3(00) / 1(00)

300   /   100

Chow,...!

The volume of the cube is 1 cubic foot.

Given that, each side of cube is 1 inch.

When dilation of the cubic inch by a factor of 12. Then each side of cube became 12 inches.

As we know that,

            \(12inch=1 foot\)

So that, each side of cube become 1 foot.

   Volume of cube \(=(side)^{3}\)

               \(Volume=1^{3}=1ft^{3}\)

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Answer:

its 1728

Step-by-step explanation:

Answer:

about 1 inch

Step-by-step explanation:

The length of the hip on a hip roof rises 1.5 feet vertically.

The hip roof has a slope of 6 inches per foot ( hip slope factor = 1.5) and a hip run of 14 feet

Length of hip = (square root of (hip run squared + (hip slope factor x roof span squared)))
Plugging in the given values, we get:
Length of hip = (square root of (14 squared + (1.5 x 14 squared)))
Length of hip = (square root of (196 + 294))
Length of hip = (square root of 490)
Length of hip = 22 feet (rounded to the nearest whole number)
Therefore, the correct answer is C. 22.
It's important to note that the hip slope factor is a value used to calculate the actual slope of the hip, which is typically steeper than the pitch of the roof. In this case, the hip slope factor of 1.5 means that for every foot of horizontal run, the hip rises 1.5 feet vertically.

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Answer:

We know that the total age of both kids is 36

we also know that Ahmed is 4 years older than Tamir.

To find the answer we will first divide 36 by 2

36/2 = 18

Now we will subtract 4 from 18 and we get 14

lastly, subtract 14 from 36

36 - 14 is 22

Hence, Ahmed is 22 while Tamir is 14

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♡⸜(˶˃ ᵕ ˂˶)⸝♡

Answer:

y = -23/6

Step-by-step explanation:

1. Substitute x.

3 x -4-6y = 11

-12-6y=11

2. Solve

-12-6y=11

+12     +12

-6y= 23

y= -23/6

Step-by-step explanation:

-12-6y=11

-6y=23

6y=-23

y=-23:6

y=3.8

(if I remember this correctly)

B = (2a + 11)/5 is an expression for b when expressed in terms of a.

What exactly are slopes and lines?

We are aware that lines might have several kinds of equations; the typical form is

The equation of a line in slope-intercept form is Ax + By + c = 0, and

y = mx + b.

m is the slope, and b is the y-intercept.

The y-intercept, or (0,b), is the point where the line crosses the y-axis when x = 0. The slope represents the rate of change of the y-axis relative to the x-axis.

Given:

Coordinates of point Q = (2,3)

Coordinates of point R = (a,b)

The equation of the line is 5x + 2y = 9 ⇒ 2y = - 5x + 9

Therefore, y = (-5/2)x + 9/2.

We know slope m = (y2 - y1) / (x2 - x1)

∴ m = (b - 3)/(a - 2).

∴ (2/5) = (b - 3).(a - 2).

2(a - 2) = 5(b - 3).

2a - 4 = 5b - 15.

2a + 11 = 5b.

b = (2a + 11)/5.

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Answer:

someone solve it please usuck

Step-by-step explanation:

Answer:

After a quick online search, I've found that the complete question is:

a) Parker paid $4.50 for three pounds of gummy candy. Assuming each pound of gummy candy costs  the same amount, complete the table of values representing the cost of gummy candy in pounds.

Then we want to graph the points, and then comes our question:

c) On the same day, Parker’s friend, Peggy, was charged $5 for 1 1/2 lb. of gummy candy. Explain in terms of the graph why this must be a mistake.

So first, we know that this is a proportional relationship (each pound of candy costs the same)

And 0 pounds of candy should cost $0.

Then the relation between y (price) and x (number of lb) is:

y = k*lb

where k is the cost per lb.

Knowing that Parker paid $4.50 for three pounds of gummy candy, the relation is:

$4.50 = k*3lb

($4.50/3lb) = k = $1.50/lb

Then the linear relation is:

y = ($1.50/lb)*x

Now, in this question we can see that Parker's friend was charged $5 for ( 1 and 1/2) lb of candy.

If we replace those values in the equation, we get:

$5 = ($1.50/lb)*(1 + 1/2)lb = $2.25

This equation is false, then, in terms of the graph, the point ( (1 and 1/2)lb, $5) does not belong on the graph that you found in the previous points.

The probability of calling a person, not from his neighborhood, is 1/5 or 0.2 if the total number of contacts is 25

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of contacts = 25

Total number of contacts of neighbors = 20

Total number of contacts which is not of the neighbors = 25 - 20 = 5

The probability of call a person not from his neighborhood:

P = 5/25 = 1/5

P = 0.2

Thus, the probability of calling a person, not from his neighborhood is 1/5 or 0.2 if the total number of contacts is 25

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Answer: 1/5 or 0.2

Step-by-step explanation:

Answer:

a=17

b=37

c=117

d=8

e=

f=-2

The ways 3 different novels, 2 different mathematics books, and 1 biology book can be arranged on a bookshelf are as follows: All books are unique.

The total number of books that can be arranged in this case is:

3! x 2! x 1! = 6 x 2 x 1 = 12.

There are 6 possible ways to arrange the 3 novels.There are 2 possible ways to arrange the 2 mathematics books.There is only 1 possible way to arrange the biology book. So, the total number of ways these books can be arranged in this scenario is,

6 x 2 x 1 = 12.

Two of the novels are a set The total number of books that can be arranged in this case is:

2! x 2! x 1! = 2 x 2 x 1 = 4.

There are 2 possible ways to arrange the set of novels (as there are only 2).There are 2 possible ways to arrange the other novel.There are 2 possible ways to arrange the mathematics books.There is only 1 possible way to arrange the biology book. So, the total number of ways these books can be arranged in this scenario is

2 x 2 x 2 x 1 = 8.

I hope this helps!

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Answer:

True. Hope this helps:)

Answer:

y=2x+8.5

Step-by-step explanation:

the equation for the table is y=2x+7

i picked two ordered pairs to find the rate

(13-9)/(3-1) = 2

2 is the rate

Three ponds of squid can be purchased at the market for $18

function table  such as 24,32, 40 years

The Luck Dragons that livein the Enchanted Forest weigh 4xpounds when they are x years old.

1.Function Rules

The result of the function 4 - x for the input 2 is 2

2.Writing Equations and Inequalities:

The convention attracted more than 2,500 attendees.

x > 250

3.Graphing Inequalities

She only received $64. x 64 GRAPH in wages.

4.Solving Inequalities

3v < 21

v < 7

Three ponds of squid can be purchased at the market for $18

function table  such as 24,32, 40 years

The function table definition is a visual, gridded table with cells for input and cells for output that are organized into rows and columns

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The statement "a manager has only 200 tons of plastic for his company" is an example of a constraint.

A constraint is a limitation or restriction that affects the decision-making process.

In this case, the amount of plastic available to the manager is a constraint that will influence his or her decisions about how to allocate resources and manage the company's operations.

Constraints are an important consideration in many decision-making contexts as they can significantly affect the feasibility and effectiveness of different options.

For example,

A company that is constrained by limited financial resources may need to prioritize investments and expenses in order to achieve its goals.

In contrast to constraints, objectives are the specific goals or outcomes that a manager aims to achieve through his or her decisions and actions.

Parameters, on the other hand, refer to the specific values or variables that are used to define a particular situation or problem.

Decisions, meanwhile, are the choices that a manager makes in response to a given situation or problem.

In this case, the manager may need to make decisions about how to best use the limited amount of plastic available to the company, taking into account factors such as production goals, quality standards, and financial considerations.

Overall, the constraint of limited plastic availability is an important consideration that will impact the manager's decisions and actions, and must be taken into account in the overall decision-making process.

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The residual if the room temperature was 25°C and the cupric chloride had an etching rate of 5 μm/min is equals to the -2 μm/min.

The residual for each observation in statistics is the difference between predicted values of y (dependent variable) and observed values of y. That is Residual= observed y value − predicted y.

Here, cupric chloride is used to etch circuit boards. The linear regression equation is, y = 2 + (1/5)x

where, x = temperature in °C

y = etching rate in μm/min

Observed value of etching rate of cupric chloride = 5 μm/min for 25°C

To determine the estimated or predicted value of etching rate of cupric chloride, we substite x = 25, in the above linear equation, y = 2 + (1/5)x

=> y = 2 + (1/5)× 25

=> y = 7

So, Predicted Value = 7 μm/min

Observed Value = 5 μm/min.

Residual = Observed Value - Predicted

= 5 - 7 = -2

Hence, required value is -2 μm/min.

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Complete question:

Calculating and interpreting residuals You might need: Calculator Alexander uses cupric chloride to etch circuit boards. He recorded the room temperature, in °C, and the etching rate, in μm/min of the cupric chloride. After plotting his results, Alexander noticed that the relationship between the two variables was fairly linear, so he used the data to calculate the following least squares regression equation for predicting the etching rate from the room temperature: y = 2 + 5/x, What is the residual if the room temperature was 25°C and the cupric chloride had an etching rate of 5 μm/min. ? Show Calculator

Answer:

22

Step-by-step explanation:

10% more than 20 is equal to 22.

To calculate this, you can first find 10% of 20, which is 2. Then, you add 2 to 20 to get the final answer of 22.

Answer: No

Step-by-step explanation: Speaking in these terms if you convert 10% do a decimal it becomes 0.01 which 20 is obviosly bigger.

The distribution factor for members CC1 and CC2 in the given frame is 0.27.

To find the distribution factor for members CC1 and CC2 in the given frame, we need to use the principle of virtual work or the method of consistent deformations.

Since member CD has a distribution factor of 0.21, it means that when a unit load is applied at joint C, member CD carries 0.21 units of that load. Similarly, member CF carries 0.25 units of the load applied at joint C.

Since members CC1 and CC2 are equal, we can assume that they carry an equal proportion of the load applied at joint C. Let's denote the distribution factor for members CC1 and CC2 as x. Therefore, the load carried by member CC1 would be x units, and the load carried by member CC2 would also be x units.

According to the principle of equilibrium, the total load applied at joint C should be equal to the sum of the loads carried by each member connected to it. In this case, we have:

0.21 + 0.25 + x + x = 1

Simplifying the equation:

0.46+2x=1

Subtracting 0.46 from both sides:

2x=1−0.46

2x=0.54

Dividing both sides by 2:

x=0.27

Therefore, the distribution factor for members CC1 and CC2 in the given frame is 0.27.

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Concept: Proportion, to find the km/h return journer

3 hours to 84 km/hr = 3.5 hours to x km/hr

(since its inverse proportion, multiply the 1st to 2nd and 3rd to 4th)

Inverse proportion: as the other quantities increase, the other one decreases

3 : 84 = 3.5 : x

3(84) = 3.5x

252 = 3.5x                (divide 3.5 both sides)

x = 72

Step-by-step explanation:

The graph that might be made by Johanna is graph (3).

Johanna has two variables: height and petal length. She plotted these variables on a graph to determine the relationship between them.

However, Johanna also found that there is one outlier in her data.

Each point on the graph represents the height and petal length of a single flower in Johanna's garden. The x-axis represents the height of the flower, and the y-axis represents the petal length.

Since there is a weak positive linear association between the two variables, the points on the scatter plot will be generally moving upwards from left to right.

In conclusion, Johanna's graph is most likely a scatter plot that shows the weak positive linear association between the height and petal length of the flowers in her garden, with one outlier that stands out from the rest of the data.

Hence the correct graph is (3).

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Complete Question:

Johanna measured the height and petal length of all the flowers in her garden. She plotted her results and found that the relationship between the variables suggests a weak positive linear association with 1 outlier.

Which of the following might be the graph Johanna made?

Answer:

a^10

Step-by-step explanation:

when the power is outside the bracket you just times them together

so the answer should b a^10

The measure of CFD is 66°.

It should be noted that vertically opposite angles are equal.

Therefore, AFE may be equal to BFD.

In this case, AFE is given as 108° while one of the other angles is given as 42°.

Therefore, the value of CFD will be:

= 102° - 42°

= 66°

The value of CFD is 66°.

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ANSWER and EXPLANATION

a) To simplify the radical, we have to:

1) First, express the number inside the radical as a product of a perfect square and a number that is not a perfect square.

2) Next, we separate the numbers into two radicals and find the square root of the perfect square.

3) Finally, we find the product of the number and the remaining radical.

B) Following the steps above:

STEP 1

STEP 2

STEP 3

The probability of winning is 0.00078395061 or approximately 0.078%.

There are five dice, and each dice has six sides.

There are a total of 6^5 possible outcomes.

This gives us 7776 possible outcomes.

We want to find the probability that we get at least four 6s in the next round.

The probability of getting exactly four 6s can be found by using the binomial distribution, which is given by the formula:

P(4) = (5 choose 4) * (1/6)^4 * (5/6)^1

P(4) = 5 * (1/6)^4 * (5/6)^1

P(4) = 0.00077160493

The probability of getting exactly five 6s can be found in a similar way:

P(5) = (5 choose 5) * (1/6)^5 * (5/6)^0

P(5) = 1 * (1/6)^5 * (5/6)^0

P(5) = 0.00001234568

The probability of getting at least four 6s is the sum of the probabilities of getting exactly four 6s and exactly five 6s.

P(at least 4) = P(4) + P(5)

P(at least 4) = 0.00077160493 + 0.00001234568

P(at least 4) = 0.00078395061

So, the probability of winning the next round by rolling at least four number 6's is 0.00078395061. This is equivalent to approximately 0.078%. Hence, the probability of winning is 0.00078395061 or approximately 0.078% which is calculated by using binomial distribution formula.

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Answer:It is option B. I got it correct:)

Step-by-step explanation:

Answer:

the value increased by0.0388

Step-by-step explanation

4% - 3% equals 0.0388 becuase its the diffrence between them is 0.0388

Answer: citizen scientists are already providing large amounts of data for monitoring biodiversity, but they could do much more, according to a new study published in the journal Biological Conservation, which suggests that citizen science has the potential to contribute much more to regional and global assessments of biodiversity. Citizen scientists are regular people who provide data or input to science, for example by monitoring species in their community or examining satellite imagery for evidence of deforestation or land use change.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Ur welcome