Given f(x)=5(x^2+1)+16, what is the value of f(11)?

\(\text{Let the number be x.}\\\\\text{The expression is}~ (x+8)(x-5)\)

Answer:

6/9

Step-by-step explanation:

It is addition may it help you

Given -

Average speed = 36 miles/hour

Time = 45 minutes

Average speed on the way home = 27 miles/hour

To Find -

How far does Ilhan live from work =?

Step-by-Step Explanation -

Let x = Time needs to go to work

y = Time needs to go back home

Now, according to the question she spent 45 minutes in the car

So,

x + y = 45

x = 45 - y ........(1)

Also,

Distance to go to work = DIstance to go to the home

36(x) = 24(y) ........(2)

Now, putting value of x from (1) in equation (2) we get:

36(45 - y) = 24y

1620 = 24y + 36y

1620 = 60y

y = 27

Final Answer -

(D) 27 miles

Answer:

4710

Step-by-step explanation:

6580 minus

1870

4710

The objective function of a linear programming model should be to maximize or minimize the numerical value.

The objective function consists of linear functions which are subjected to constraints in the form of linear equations or in the form of inequalities.

The objective function is always stated as z = ax + by.

The numerical value may be the:

Thus, the objective function of a linear programming model, which is always linear, is to maximize or minimize a numerical value.

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Answer:

uhh judy has $3.024 in her bank acc

She is buying tickets for 11 friends and including herself too that means 12

Two friends decided help to buy the tickets and offered $100 each i.e $200

So I'm guessing that the cost price of one ticket is $100

Now than since 2 people paid their ticket cost than that means only 10 people left

Than for buying tickets for 10 people would cost (10×100=1000)

So I guess buying the tickets cost 1000 or if we add other two people's cost than that makes 1200

Answer:

Considering how a full circle is 360 degrees, 360/2=180.

\(\huge\textbf{Hey there!}\)

\(\mathsf{\dfrac{5}{9} \ of \ 180}\)

\(\mathsf{= \dfrac{5}{9}\times180}\)

\(\mathsf{= \dfrac{5}{9}\times\dfrac{180}{1}}\)

\(\mathsf{= \dfrac{5(180)}{9(1)}}\)

\(\mathsf{= \dfrac{900}{9}}\)

\(\mathsf{= \dfrac{900\div9}{9\div9}}\)

\(\mathsf{= \dfrac{100}{1}}\)

\(\mathsf{\rightarrow 100\div 1}\)

\(\mathsf{= 100}\)

\(\huge\textbf{Therefore, your answer is: \boxed{\mathsf{100^\circ}}}\)

\(\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}\)

~\(\frak{Amphitrite1040:)}\)

The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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The  number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

The quantitative relation between two or more amounts showing the number of times one value is contains or contained within other.

Now the given ratio is 5 : 9 : 4.

and total amount of the coins is $206.

There are three types of coins in the bag, 50¢, 25¢ and 10¢.

Suppose x be the the ratio of coins in the bag.

Hence, number of  50¢ coins = 5x

number of  25¢ coins = 9x

number of  10¢ coins = 4x

Now, given total amount = $206

and since $1 = 100¢

⇒ ($0.5)(5x) + ($0.25)(9x) + ($0.1)(4x) ¢ = $206

Solving them,

⇒ 2.5x + 2.25x + 0.4x = 206

⇒ 5.15x = 206

⇒ x = 40

Therefore,

number of  50¢ coins = 5*40 = 200

number of  25¢ coins = 9*40 =  360

number of  10¢ coins = 4*40 =  160

Hence, number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

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Answer:

c

Step-by-step explanation:

the slope of 3 is 0 meaning that there is 0 movement

Answer:

Answer would be $6 for 5.

Step-by-step explanation:

I think its the better offer because you could get 5 mangoes for $6. Even tho it is pricey, you get more mangoes. Hope it helps!

Answer:

Step-by-step explanation:

1\(\frac{1}{2}\) * \(\frac{1}{3}\) = \(\frac{3}{2}\)*\(\frac{1}{3}\)    cross cancel    then  you have  \(\frac{1}{2}\)   :)

Answer:

He will use 1 1/6 teaspoons

You can change mixed numbers by changing it into an improper fraction.

Step-by-step explanation:

Answer:

The domain of the function H(t), is [-5, 30].

The range of the function H(t), is [(10% + average), (average - 20%)]

Step-by-step explanation:

The domain of a function is the complete set of possible values of the independent variable.

For this question, the function is H(t), with the temperature, t, serving as the independent variables and H(t) the evidently dependent variable.

The domain of a function refers to all the possible independent variable values that will give corresponding real dependent variable values.

For this question, Alice's model has the probability for the occurrence of heart disease (in percents relative to the global average) at an area, H(t) varying with the temperature of that area in degree Celsius.

At a temperature of -5°C (the lowest temperature in the model), the probability is 10% above the average.

Then, the probability decreases with increase in temperature, taking a value 20% lower than the average when the temperature is at its highest of 30°C in the model.

So, temperature ranges from -5°C to 30°C and the probability for the occurrence of heart disease ranges from 10% above the average to 20% below the average.

The domain of the function H(t), from the definition given above would therefore be [-5, 30]

And the range of the function H(t), is [(10% + average), (average - 20%)]

Hope this Helps!!!

The Real Number type is more appropriate fro the domain of H(t).

The domain of H(t) is given as  \(-5 \leq t \leq 30\)

Given that:

The lowest temperature included in the model is -5° C

The highest temperature included in the model is 30° C

The domain of H includes the values of the temperature. Since the temperature can be non integer too, sometimes rational too, thus we use Real Number type for the domain of H(t).

The domain of H(t) will be given by the following interval on real number line:

\(\begin{aligned} Domain(H(t)) = [-5, 30]\\\end{aligned}\)

or \(-5 \leq t \leq 30\).

Hence, the Real Number type is more appropriate fro the domain of H(t).

The domain of H(t) is given as  \(-5 \leq t \leq 30\).

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The first plane is farther from the airstrip after the second leg

The first plane

Initial distance = 150 miles west

Additional distance = 220 miles 30 degrees SW

This means that

Additional distance = 220 * cos(30) miles SW

Additional distance = 190.53 miles

Total distance = 150 + 190.53 = 340.53

The second plane

Initial distance = 220 miles east

Additional distance = 150 miles x degrees SE

This means that

Additional distance = 150 * cos(x) miles SW

Total distance = 220 + 150 cos(x)

Given that

x < 30

We have

Second plane < First plane

220 + 150 cos(x) < 340.53

Evaluate

cos(x) < 0.8035

Take the arc cos of both sides

x < 36

x < 36 is not the same as x < 30

Hence, the first plane is farther

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Answer:

54<48

Step-by-step explanation:

If you add 45+3, you get 45.

Hope this helped.

The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24

Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.

Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9

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Answer:

60°

Step-by-step explanation:

Let the angle be x. Then, its supplement is (180°-x) and its complement is (90°-x).

\(180-x=4(90-x) \\ \\ 180-x=360-4x \\ \\ 3x=180 \\ \\ x=60^{\circ}\)

Answer:

n= 5/3 or 1.67

Step-by-step explanation:

9n^2 -9 =16

9n^2 = 16 + 9

9n^2 = 25

n^2 =25/9

n^2 =25/9

\(\sqrt{n^2} = \sqrt{\frac{25}{9} }\)

n= 5/3 or 1.67

\(~~~~~~9n^2 -9 = 16\\\\\implies 9(n^2 -1) = 16\\\\\implies n^2 -1 = \dfrac{16}9\\\\\implies n^2 = \dfrac{16}{9}+1\\\\\implies n^2 = \dfrac{25}{9}\\\\\implies n=\pm\sqrt{\dfrac{25}{9}}\\\\\implies n= \pm\dfrac 53\\\\\implies n = \pm1.67\)

The required  average number of people completing voting at any given time as per given 55 people per hour is equals to 27.5.

Average throughput voting facility process = 55 people per hour,

Calculate the average processing time per person ,

⇒ Processing time per person = 1 hour / 55 people

⇒ Processing time per person = 0.01818 hours/person

Average time taken by each person to complete the voting process = 30 minutes  

Convert this to hours by dividing by 60,

⇒ Flow time per person = 30 minutes / 60

⇒ Flow time per person = 0.5 hours/person

Now,

Average number of people in the voting facility using Little's Law,

which states that the average number of items in a system is equal to the average throughput multiplied by the average flow time.

⇒ Average number of people in facility = Average throughput x Average flow time

⇒ Average number of people in facility = 55 people/hour x 0.5 hours/person

⇒ Average number of people in facility = 27.5 people

Therefore, on average there are 27.5 people in the voting facility at any given time.

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The above question is incomplete, the complete question is:

Suppose that a voting facility processes an average of 55 people per hour (throughput) and that, on average, it takes 30 minutes for each person to complete the voting process (flow time).Calculate the average number of people  in the voting facility at any given time.

The equations that are true for x = -2 and x = 2 are x² + 4 = 0 and 4x² = 16. So, the correct option is A) and D).

To determine which equations are true for x = -2 and x = 2, we simply substitute these values into each equation and check if the equation is true or not. Here are the results

x² - 4 = 0

Substituting x = -2 gives (-2)² - 4 = 0, which is true. Substituting x = 2 gives 2² - 4 = 0, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

x² = -4

Substituting x = -2 gives (-2)² = -4, which is not true. Substituting x = 2 gives 2² = -4, which is also not true. Therefore, this equation is not true for either x = -2 or x = 2.

3x² + 12 = 0

Substituting x = -2 gives 3(-2)² + 12 = 0, which is true. Substituting x = 2 gives 3(2)² + 12 = 24, which is not equal to zero. Therefore, this equation is true for x = -2 but not for x = 2.

4x² = 16

Substituting x = -2 gives 4(-2)² = 16, which is true. Substituting x = 2 gives 4(2)² = 16, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

2(x - 2)² = 0

Substituting x = -2 gives 2(-2 - 2)² = 0, which is true. Substituting x = 2 gives 2(2 - 2)² = 0, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

Therefore, the two equations that are true for both x = -2 and x = 2 are x² - 4 = 0 and 4x² = 16. So, the correct answer is A) and D).

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Answer:

140

If that's wrong, try 147

Step-by-step explanation:

With this brief sequence of numbers, we can see that the function is linear, and increases by 7 each term, with the first term at -21, and therefore, the "0th" term, or the y-intercept, at -28. With this information we can create a function in slope intercept form (y=mx+b):

\(y=7x-28\\\),

where our m (slope) is 7, and our b (y-intercept) is -28.

If this doesn't make sense, then the easiest way is to just keep adding seven to the previous number until you get to the 24th term.

Hope this helps!

Answer:

9.2

Step-by-step explanation:

8×1.15 = 9.2

I think..

Question:

Ahmed multiplies 8 by 1.15. Which number is he trying to find?

______________________________________________

Solution:

On multiplying 8 by 1.15, we get,

= 8 * 1.15

= 1¹ . 1⁴ 5

* 8

9 . 2 0

To the power 1 and 4 show that 1 and 4 carried over.

Hence the number he is trying to find is 9.20 or 9.2.

Using the lexicographic ordering 5 tuples we get that option b and d is correct.

The lexicographic ordering of 5-tuples means that we compare the elements of each tuple from left to right, and as soon as we find a pair of elements that differ, we say that the tuple with the smaller element is less than the other tuple.

Using this ordering, we can compare the given tuples as follows:

a. (3,1,10,17,2) < (3,1,10,20,1) is true because the fifth element of the first tuple (2) is smaller than the fifth element of the second tuple (1).

(5,1,10,17,2) < (5,0,101,2,2) is false because the second element of the first tuple (1) is greater than the second element of the second tuple (0).

Therefore, option (a) is not correct.

b. (3,1,10,17,2) > (3,1,10,20,1) is false because the fifth element of the first tuple (2) is smaller than the fifth element of the second tuple (1).

(5,1,10,17,2) < (5,0,101,2,2) is true because the second element of the first tuple (1) is smaller than the second element of the second tuple (0).

Therefore, option (b) is correct.

c. (3,1,10,17,2) < (3,1,10,20,1) is true because the fifth element of the first tuple (2) is smaller than the fifth element of the second tuple (1).

(5,1,10,17,2) > (5,0,101,2,2) is true because the second element of the first tuple (1) is greater than the second element of the second tuple (0).

Therefore, option (c) is not correct.

d. (3,1,10,17,2) > (3,1,10,20,1) is false because the fifth element of the first tuple (2) is smaller than the fifth element of the second tuple (1).

(5,1,10,17,2) > (5,0,101,2,2) is true because the second element of the first tuple (1) is greater than the second element of the second tuple (0).

Therefore, option (d) is correct.

So the correct answer is (b) and (d).

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Therefore , the solution of the given problem of  ordered pair  comes out to be -7 is the solution.

Two distinct variables that organize themselves in a way that implies a particular sequence are referred to as "ordered pairs". The main or second components, respectively, indicate the coordinates for the x and y positions in an order pair. The sample following employs close parentheses to show the ordered combination.

Here,

In the ordered pair

=>  (6, -7), the number -7 indicates the y-coordinate.

The x-coordinate is represented by number one in the sorted pair,

6, and the y-coordinate is represented by number two, -7.

So, -7 is the solution.

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The answer of the given question based on the number that represents the y-coordinate 6 or -7 is  the number -7 represents the y-coordinate.

In mathematics, a graph is a collection of points, called vertices or nodes, and lines connecting some or all of these points, called edges or arcs. Graphs are used to model and study relationships between objects or events.

Graphs can be used to represent a variety of things, like social networks, road networks, electrical circuits, chemical compounds, and more. They are also used in computer science and data analysis, where they can be used to represent data structures, algorithms, and data relationships.

There are different types of graphs, including directed and undirected graphs, weighted graph and unweighted graphs, and connected and disconnected graphs. The study of graphs is called graph theory, and it has applications in a variety of fields, including computer science, physics, engineering, and social sciences.

In the ordered pair (6, -7), the number -7 represents the y-coordinate.

In an ordered pair (x, y), the x-coordinate represents the horizontal position on the graph, while the y-coordinate represents the vertical position on the graph.

So, in the given ordered pair (6, -7), the number 6 represents the x-coordinate, and the number -7 represents the y-coordinate.

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Answer:

-2<=y<=-7

Step-by-step explanation:

Treating the data as a Venn set, it is found that:

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

I am going to say that:

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

9 are good in all of the three courses.

This means that: \(A \cap B \cap C = 9\)

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

13 are good in both mathematics and psychology

This means that:

\((A \cap C) + (A \cap B \cap C) = 13\)

\((A \cap C) + 9 = 13\)

\((A \cap C) = 4\)

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

15 are good in both mathematics and in English

This means that:

\((A \cap B) + (A \cap B \cap C) = 15\)

\((A \cap B) + 9 = 15\)

\((A \cap B) = 6\)

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

16 are good in both English and psychology

This means that:

\((B \cap C) + (A \cap B \cap C) = 16\)

\((B \cap C) + 9 = 16\)

\((B \cap C) = 7\)

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

20 are good in psychology

This means that:

\(c + (A \cap C) + (B \cap C) +  (A \cap B \cap C) = 20\)

\(c + 4 + 7 + 9 = 20\)

\(c = 0\)

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

45 are good in mathematics

This means that:

\(a + (A \cap B) + (A \cap C) +  (A \cap B \cap C) = 45\)

\(a + 6 + 4 + 9 = 45\)

\(a = 26\)

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

Question a:

\(a = 26\), which means that 26 students are good in mathematics only.

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

Question b:

At least one is:

\(a + (A \cap B) + (A \cap C) + (B \cap C) +  (A \cap B \cap C) = 26 + 6 + 4 + 7 + 9 = 52\)

Thus, 80 - 52 = 28

28 students are not good in any of the three courses.

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Using a differential equation, it is found that the temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.

The rate at which the temperature is dropping is \(6t + 5t^2\) degrees Celsius per hour t hours after sundown, hence the differential equation is:

\(\frac{dT}{dt} = 6t + 5t^2\)

Applying separation of variables, we find the solution as follows:

\(\frac{dT}{dt} = 6t + 5t^2\)

\(dT = (6t + 5t^2) dt\)

\(\int dT = \int (6t + 5t^2) dt\)

\(T(t) = \frac{5t^3}{3} + 3t^2 + T(0)\)

In which T(0) is the temperature at sundown.

In 3 hours, the change will be of:

\(C = T(3) - T(0) = \frac{5t^3}{3} + 3t^2|_{t = 3}\)

Hence:

\(\frac{5(3)^3}{3} + 3(3)^2 = 45 + 27 = 72\)

The temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.

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