latifa writes down a number. she says
if i find a cube root of that number and then quadruple the answer, i get 16
what number did latifa write down?

Answers

Answer 1

Answer:

8

Step-by-step explanation:

the cubed root of 8 equals 2

if you quadruple 2 (multiply it by 4), you will get 8


Related Questions

Two piecewise functions are shown below. What is the value of 3h(2) + 4g(1)?

Answers

Answer: In order to calculate the value of 3h(2) + 4g(1), we would need to know the specific functions h(x) and g(x) that you are referring to. Without more information, it is not possible to determine the value of the expression.

Typically, piecewise functions are defined by several different expressions, each defined over a different interval of the input variable x. To evaluate a piecewise function at a specific value of x, we must first determine which interval that value of x falls into, and then use the corresponding expression for that interval to find the output value.

Are you able to provide the piecewise functions, or are you just using them as an example?

Also, in case if you want to describe the functions in words, please let me know.

Step-by-step explanation:

Can someone help me step by step !!

Answers

Answer:

[tex]x=\sqrt{153}[/tex]

Step-by-step explanation:

[tex](\overline{BC})^2 = (\overline{AB})^2 + (\overline{AC})^2\\\\(13)^2=(x)^2+(4)^2\\\\169 = x^2+16\\\\169-16=x^2\\\\153=x^2\\\\\sqrt{x^2} = \sqrt{153}\\\\x=\sqrt{153}[/tex]

Why do we not feel Earth rotation and revolution?

Answers

Earth's rotation and revolution are both very slow motions, so slow that we don't feel them. The rate of Earth's rotation is about 1,000 miles per hour, and the speed of its revolution is about 67,000 miles per hour, but both of those speeds are so slow that we don't feel any movement or acceleration.

Earth's rotation and revolution are both very slow motions, so slow that we don't feel them. The rate of Earth's rotation is about 1,000 miles per hour and its revolution is about 67,000 miles per hour, but both of these speeds are too slow to be felt.Earth's rotation and revolution are both very slow motions, so slow that we don't feel them. The speed of Earth's rotation is about 1,000 miles per hour, and the speed of its revolution is about 67,000 miles per hour, but both of those speeds are so slow that we don't feel any movement or acceleration.

Learn more about rate here

https://brainly.com/question/13481529

#SPJ4

Given the function f(x) = | -2x + 4 |. Complete the table.

x f(x)
6 Blank 1

-1 Blank 2

Blank 3

4
Blank 4

14

Answers

The table representing the given absolute function should be completed as follows;

x          f(x)

6          8

-1          6

4          4

9         14

How to complete the table of this absolute function?

Based on the information provided, we have the following absolute function:

f(x) = |-2x + 4|

When x = 6, the value of the absolute function is given by;

f(6) = |-2(6) + 4|

f(6) = |-12 + 4|

f(6) = |-8|

f(6) = 8

When x = -1, the value of the absolute function is given by;

f(-1) = |-2(-1) + 4|

f(-1) = |2 + 4|

f(-1) = |6|

f(-1) = -6.

When the value of the absolute function y = 4 is given by;

4 = |-2x + 4|

±4 = -2x + 4

2x = 4 ± 4

2x = 8

x = 4 or 0.

When the value of the absolute function y = 14 is given by;

14 = |-2x + 4|

±14 = -2x + 4

2x = 4 ± 14

2x = 18

x = 9 or 5.

Learn more about function here: https://brainly.com/question/17136585

#SPJ1

At summer camp this year, Clare is leading the beadwork class. Each of the 9 craft tables has a bucket of beads. The graph shows the weight of the beads in each bucket.
If Clare distributes all of the beads equally among the 9 buckets, how much will the beads in each bucket weigh?

Answers

The beads in each bucket will weigh 1 pound

How to determine the  weight of the beads in each bucket?

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.

From the graph, we have weights of 0, 1/2, 1 1/2 and 2 pounds.

In order for Clare to distributes all of the beads equally among the buckets, she need to add up weight of the beads and divide by 5.

weight in each bucket = (0 + 1/2 + 1 1/2 + 2)/5 = 5/5 = 1 pound

Thus, each bucket weighs 1 pound

Learn more about fractions on:

brainly.com/question/11562149

#SPJ1

will u simplify -164​

Answers

Answer:

No, I will not simplify -164

Step-by-step explanation:

You can not Simplify -164

so the answer will be you can not simplify it

A square board has an area of 144 square units. How long is each side of the board?

Answers

Answer: 12 units

Step-by-step explanation:

∴ Area of Square = side length × side length

⇒144 = lengt²

⇒length = √144

⇒length = 12 units ANSWER

hope that helps...

27/3 TO A WHOLE
NUMBER

Answers

Answer:

9, after being converted to a mixed number

Step-by-step explanation:

Just divide 27 by 3, it’ll equal 9

yw :)

hope i helped, reach out if it’s wrong (it’s not lol)

Have a great day :3

Answer: 9

Step-by-step explanation:

since fraction means we divide the numerator by denominator, we divide 27 by 3

⇒27/3

⇒27 ÷ 3

⇒9 answer

hope that helps ...

which of the following phrases translate to the expression y+7 ?

Answers

The required phrase to translate the expression x + 7 is, A number increases by 7 or an Addition of number and 7.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Given expression x + 7,
The expression can be translated as a number increase by 7 or the Addition of the number and 7.


Thus. the required phrase to translate the expression x + 7 is, A number increases by 7 or an Addition of number and 7.

Learn more about models here:
https://brainly.com/question/22591166
#SPJ1

Lin makes her favorite juice blend by mixing cranberry juice with apple juice in the ratio shown on the double number line. complete the diagram to show smaller and larger batches that would taste the same as lin's favorite blend. please
help it's due tomorrow

Answers

The ratios on the double line are 3:7, 6:14, 12:28 and 15:35.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, Lin makes her favorite juice blend by mixing cranberry juice with apple juice in the ratio shown on the double number line.

From the given double line, the ratio is 9:21.

Completed double line has the following ratios

3:7, 6:14, 12:28, 15:35

Therefore, the ratios on the double line are 3:7, 6:14, 12:28 and 15:35.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ1

Larry and Carol are both members of a population, and a simple random sample is being conducted. If the chance of Larry being selected is 1/800, what is the chance of Carol being selected

Answers

By simple reasoning, The chance of Carol being selected is 1/800.

What in probability is a random process?

A collection of random variables, typically indexed by time, makes up a random process. Here, the process S(t) is an illustration of a continuous-time random process. In general, a random process X(t) is a continuous-time random process if t can take real values in an interval on the real line.

A straightforward random sample is being taken from a population that includes both Larry and Carol.

So both of them have an equal chance of being chosen.

Now, Larry's likelihood of being chosen is 1 in 800.

The likelihood of Carol being chosen is then 1 in 800.

To know more about probability visit:-

brainly.com/question/11234923

#SPJ4

The temperature in Paris, France is -7°C and the temperature in Malé, Maldives is -3°C
(a) write down how many degrees colder it is in Paris than Malé
(b) Rome is 23 degrees warmer than Paris
Write down the temperature in Rome.

Answers

Answer:

a) 3

b) 16 Celsius

Answer:

A. -4°C

B. 16°C

Step-by-step explanation:

A. (-7°C)-(-3°C)= -4°C

Therefore Paris is -4°C colder than Malé.

B. 23+(-7°C)=16°C

Therefore the temperature in Rome is 16°C

Hope it helps you

PLS RATE AS BRAINLIEST ANSWER

For which function is the average rate of change over the interval 1 < x < 5 greater than the average rate of change over the same interval for the function g(x) = 1. 8x2?

Answers

The function g(x) = 1. 8x2 greater than the average rate is k(x) = 2x^2

How to calculate average rate?

The average rate is a measure of how quickly a quantity changes over a specific period of time. It can be calculated by dividing the change in the quantity by the change in time. The formula for calculating the average rate is:

Average rate = (final value - initial value) / (final time - initial time)

Given a function y, the average rate of change S of y = f(x)  in an interval (Xs, Xf)  will be given by the following equation:

In this problem, we have that:

Interval (1,5), so

Then

S = f(5) - f(1)/4

All options are compared to g(x).

g(5) = 1.8*(5)^2 = 45

g(1) = 1.8*(1)^2 = 1.8

An average rate of change greater than 10.8.

D.=k(x) = 2x^2

k(5) = 2*(5)^2 = 50

k(1) = 2*(1)^2 = 2

Greater than 10.8, this is the answer.

Hence, The function g(x) = 1. 8x2 greater than the average rate is k(x) = 2x^2

To learn more about average rate, Visit

https://brainly.com/question/24313700

#SPJ4

Victoria has a total of 65 dimes and quarters worth $10.70. How many of each type of coin does she have?

Answers

Victoria has 37 dimes and 28 quarters in total.

What is equation modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.

Given is that Victoria has a total of 65 dimes and quarters worth $10.70.

We can write the system of equations as -

x + y = 65

(1/10)x + (1/4)y = 10.70

Refer to the graph attached. On solving the equation graphically, we get-

x = 37, y = 28

Therefore, Victoria has 37 dimes and 28 quarters in total.

To solve more questions on equations & expressions visit the link below -

brainly.com/question/17421223

#SPJ1

. An interior designer plans to use triangular tiles that are 8 cm × 9 cm × 13 cm for a backsplash. In order to fit them together properly, she needs to know the size of the angles on the tile. Calculate the three angles on the tile, accurate to one decimal place. Include a diagram.

Answers

The measures of three angles are 40.5°, 43.5° and 95.8°.

What is sine rule?

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

The formula for sine rule is sinA/a=sinB/b=sinC/c

Given that, an interior designer plans to use triangular tiles that are 8 cm×9 cm×13 cm for a backsplash.

Using cosine rule, we get

9²= 8²+ 13²- 2(8)(13) cos θ (angle opposite 9 cm side.)

81=64+169-208 cos θ

81-233=-208 cos θ

-208 cos θ=-152

cos θ=-152/(-208)

cos θ=0.7307

θ=43.7°

Using sine rule,

The formula for sine rule is sinA/a=sinB/b=sinC/c

sinA/8 =sin43°/9=sinC/13

sinA/8 =0.7307/9

sinA/8=0.0811

sinA=0.6495

A=40.5°

So, ∠A+∠B+∠C=180°

40.5°+43.7°+∠C=180°

∠C=95.8°

Therefore, the measures of three angles are 40.5°, 43.5° and 95.8°.

Learn more about the sine rule here:

https://brainly.com/question/22288720.

#SPJ1

If quadrilateral ABCD is a rectangle, where A(-5, -5), B(-10, -3), C(-6, 7) and D(x, y) is unknown. Find the coordinates of the fourth vertex Point D. Write your answer as an ordered pair.
Answer choices
(-1,5)

(-5,6)

(5,1)

(-10.-6)

Answers

Answer: No rectangle can make this shape

Step-by-step explanation:

It costs $0. 50 per square yard to waterproof canvas. What will it cost to waterproof a canvas truck cover that is 15' x 24'

Answers

It will cost $10.00 to waterproof a canvas truck cover that is 15' x 24'.

To find this, we need to first convert the dimensions of the canvas truck cover from feet to yards, since the cost is given per square yard. 15' x 24' = 180 sq ft. 1 sq yard is equal to 9 sq ft, so 180 sq ft/9 sq ft/yard = 20 sq yard. Then we multiply the square yards by the cost per square yard to find the total cost:

20 sq yard x $0.50/sq yard = $10.00.

It's important to note that the measurements of the canvas truck cover are given in feet and the cost is given per square yard. It's important to convert it to square yards to match the unit of measurement and calculate the cost.

Learn more about Dimensions here:

https://brainly.com/question/27404871

#SPJ4

6x + 2y = 25.92 4x + 3y = 33.93 Solve for x and y

Answers

Answer:

y = -3x + 12.96

y = [tex]\frac{-4}{3}[/tex] x + 11.31

Step-by-step explanation:

6x + 2y = 25.92  Subtract 6x from both sides

2y = -6x + 25.92  Divide all the way through by 2

y = -3x + 12.96

4x + 3y = 33.93  Subtract 4x from both sides

3y = -4x + 33.93  Divide all the way through by 3

y = [tex]\frac{-4}{3}[/tex] x + 11.31

5. The hourly garage at BWI Airport costs $4 an hour with a maximum cost of $22 a day. The equation (ℎ)= { 4 , 0<ℎ≤1 8 , 1<ℎ≤2 12 , 2<ℎ≤3 16 , 3<ℎ≤4 20 , 4<ℎ≤5 22 , 5<ℎ≤24 represents the cost of parking for ℎ hours. a. How much does it cost to park for 45 minutes? b. How much does it cost to park for 2 hours? c. How long could you have parked if it cost you $16? d. List the domain and range for this situation.

Answers

It will cost $4 for 45 minutes and for 2 hours it will cost $8. If parked for 3 to 4 hours it will cost $16 for garage at BWI Airport.

What is the scope and domain?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the set of values it can take as input. After we enter an x value, the function outputs this set of values.

How are range and domain determined?

Graphs can be used to determine the domain and range of functions. The domain of a graph is made up of all the input values displayed on the x-axis because the term "domain" refers to the set of potential input values. The possible output values that make up the range are shown on y-axis.

To know more about function visit:-

brainly.com/question/12431044

#SPJ1

PLEASE HELPPPP

(image below)

Answers

Answer:

b

Step-by-step explanation:

I think number B is the answer. because the square becomes root when it crosses the = . So, the answer is B

Answer:

  b.  ±√60

Step-by-step explanation:

You want to know the solution to x² = 60.

Solution

In general, the process of solving for a variable's value requires you to "undo" what is done to the variable. This generally means you use inverse operations. The inverse of the squaring operation is the square root operation.

Taking the square root of both sides, we get ...

  √(x²) = √60

  |x| = √60 . . . . . . simplify the left side

  x = ±√60 . . . . . . . write the equivalent without the absolute value bars

__

Additional comment

As with any operation performed on an equation, it must be done to both sides of the equal sign.

You will get a ±(radical) result whenever you take an even-index root: square root, fourth root, sixth root, and so on. Odd-index roots will have the same sign as the value under the radical.

  √64 = ±8

  ∛64 = 4; ∛-64 = -4

Sue has 20 biscuits in a tin.
There are: 12 plain biscuits
5 chocolate biscuits
3 currant biscuits
Sue takes two random biscuits from the tin.
Work out the probability that they are not the same type.

Answers

Answer:

The probability that the two biscuits were not the same type is 58.4%.

How much is the probability that the two biscuits were not the same type?

The probability that they are different is the opposite of the probability that they are the same.

The probability that they are the same is:

⇒ P(plain, plain) = (12/20) (11/19) = 132 / 380

⇒ P(chocolate, chocolate) = (5/20) (4/19) = 20 / 380

⇒ P(currant, currant) = (3/20) (2/19) = 6 / 380

⇒ P(same) = 132/380 + 20/380 + 6/380

⇒ P(same) = 158/380

⇒ P(same) = 79/190

Therefore, the probability that they are different is:

⇒ P(different) = 1 − 79/190

⇒ P(different) = 111/190

⇒ P(different) ≈ 58.4%

What does probability mean?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high, sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of data collection, the sales team determines that the monthly profit is approximated by f(p)= -50p2 + 1600p - 11,000, where p is the price per shirt and f (p) is the monthly profit based on that price. (a) Find the price that generates the maximum profit. (b) Find the maximum profit. (c) Find the price(s) that would enable the company to break even. If there is more than one price, use the "and" button. Part 1 of 3 (a) The price that generates the maximum profit is S 16 Part 2 of 3 (b) The maximum profit is $ 1800 Part: 2/3 Part 3 of 3 (c) The price(s) that would enable the company to break even:

Answers

The price that maximize the profit is $10 or $22.

What is maximum profit?

In economics, profit maximization is the short run or long run process by which a firm may determine the price, input and output levels that will lead to the highest possible total profit.

Given:

f(p) = -50p^2 + 1600p - 11000

Now to find velocity point

[tex]-\frac{b}{2a} = \frac{-1600}{2(-50)} = \frac{1600}{100} = 16[/tex]

So for the price p = 16 that generates maximum profit.

Now

f(16) = -50(16)^2 + 1600(16) - 11000 = 1800

The maximum profit is 1800.

At breakeven, f(p) = 0

So,

[tex]-50p^2 + 1600p - 11000 = 0\\p = \frac{-1600 + -\sqrt{(1600)^2 - 4(-50)(-11000)} }{2(-50)} \\p = \frac{-1600 + - \sqrt{2560000 - 2200000} }{-100} \\p = \frac{-1600+-\sqrt{360000} }{-100} \\p = \frac{-1600+-600}{100}\\ p = 10, 22[/tex]

So p = $10   or  p = $22

Hence, the price that maximize the profit is $10 or $22.

To know more about maximum profit, click on the link

https://brainly.com/question/15697949

#SPJ4

A financial analyst wants to set up a hypothesis test to determine if the mean yearly salaries of teachers, tutors, and professors are the same. What would be the correct setup for the null and alternative hypotheses for this test

Answers

Null hypothesis (H0): There’s no effect in the population. Alternative hypothesis (Ha or H1): There’s an effect in the population.

Which null and alternative hypotheses are correct?

The null and alternative hypotheses are two opposing ideas that researchers use a statistical test to analyze evidence for and against: The null hypothesis (H0) states that there is no influence in the population. Alternative hypothesis (Ha or H1): There is a population effect.

Identify the null and alternative hypotheses.

As well as the sample size, specify.

Choose a suitable statistical test.

Gather information (note that the previous steps should be done prior to collecting data)

Based on the sample data, compute the test statistic.

Examine the null hypothesis, usually indicated by H0.

Always write the alternative hypothesis, which is usually marked by Ha or H1, with less than, greater than, or not equals symbols, i.e., (,>,or).

To learn more about alternative hypotheses to refer:

https://brainly.com/question/28331914

#SPJ4

Using the regression line, or line of best fit, predict the resale value of an 8-year-old car with an original cost of $15,000.a.The 8-year-old car could be worth approximately $2000.b.The 8-year-old car could be worth approximately $5000.c.The 8-year-old car could be worth approximately $3000.d.The 8-year-old car could be worth approximately $4500.

Answers

The 8-year-old car could be worth approximately $3000.

The graphs that show the association between two variables in a data collection are called scatter plots. It displays data points either on a Cartesian system or a two-dimensional plane.

The X-axis is used to represent the independent variable or characteristic, while the Y-axis is used to plot the dependent variable. These diagrams or graphs are frequently used to describe these plots.

In the graph attached below, we can see that when the age of the car is 8 years, the resale value of the car is between points 40 and 20.

Thus, The 8-year-old car could be worth approximately $3000.

(Refer to the image attached for the complete question and graph)

To know more about scatter plot visit: brainly.com/question/29231735

#SPJ4

Is gram equal to mole?

Answers

No, 1 gram is not equal to 1 mole. The numerical values of mole and gram are different for an object.

What is 1 gram?

Avogadro number of atoms makes up one mole. It is possible to convert a mole into grams if you know the mole quantity.

Mole: The International System of Units uses the mole (symbol: mol) as the unit of material quantity. How many elementary entities of a particular substance are present in an object or sample is determined by the quantity of that material. It is specified that the mole contains exactly 6.02214076×10²³ elementary entities.

The relation between  gram  and mole is

1 gram = Mole × atomic weight.

To learn more about mole and gram, click on the below link:

https://brainly.com/question/29061471

#SPJ4

What does ∧ and ∨ mean in math?

Answers

The ^ operator in logical mathematics means the OR operation . Therefore , the statement ∧ and ∠means that a or the negation of a is joined by the or operation .

These are known as logical operations as they are based upon logic.The meaning of the term logic is reasoning which means to resonate. The reasoning may be a legal opinion or mathematical confirmation.

We apply logic on expression to check whether they are true of false . Some of the mathematical logics are a negation, conjunction, and disjunction logical operations. The symbols used for them in mathematical logic is, ‘~’ for negation ‘^’ for conjunction and ‘ v ‘ for disjunction.

To learn more about logical operations

brainly.com/question/13092292

#SPJ4

What is the interval of 0 5?

Answers

Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5.

Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers. For example, the set of numbers x satisfying 0 ≤ x ≤ 5 is an interval that contains 0, 5, and all numbers between 0 and 5.

What is Interval Notation?

Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5.

To learn more about interval notation:

https://brainly.com/question/29531272

#SPJ4

J31) what are the undefined values for sinx cosx / 1 - sin²x , where 0 ≤ x < 2pi ?

how?

Answers

Answer:Mathematics2 minutes ago

+5 pts

J31) what are the undefined values for sinx cosx / 1 - sin²x , where 0 ≤ x < 2pi ? how?

Step-by-step explanation:

Suppose the average score on a national test is 600,with a standard deviation of 50. If each score is increased by 10, what are the new mean and standard deviation

Answers

On solving the provided question we can say that the new Mean = 610 mean .

What is mean?

A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). is 50.

What is mean?

A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean).

The mean score is calculated by dividing the total number of tests taken by all of the scores. The mean will therefore rise if you give each test a higher mark. The standard deviation is calculated as the square root of the product of the power of two of all test results, multiplied by the number of tests, and then subtracted from the mean.

Each score you raise by 10 will result in a 10 change in the mean. But as there will be no change in the distance between each score and the mean, the standard deviations will also not change.

Mean = 600

Average deviation is 50.

Scores went up by 10

Mean = 610

Average deviation is 50.

To know more about mean visit:

https://brainly.com/question/30094057

#SPJ4

What does FG mean mass?

Answers

FG is an abbreviation for "Femtogram," which is a unit of mass equal to one quadrillionth of a gram (10^-15 g).

An exclamation is an emphatic expression of emotion or emphasis. It is often used to express strong feelings such as surprise, joy, excitement, anger, or disbelief. Exclamations are also used to emphasize a point or give an opinion. Exclamations are most commonly used in spoken language, particularly in informal conversations. They can also be used in written language, but they should be used sparingly. Exclamations are often followed by an exclamation point, although they can also be followed by a question mark or an ellipsis. Exclamations can be used to add emphasis or emotion to a statement, making it more powerful and memorable.

Learn more about unit here

https://brainly.com/question/19866321

#SPJ4

Other Questions
Mr. Spears was purchasing supplies for his math classroom. He had $25 to spend. Mechanical pencils and erasers come in bundles of 10. Each eraser costs $0.50. Fill in the missing place in the equation to compute the cost of each mechanical pencil. Please reflect on what worries or confuses you about this process (either using MyPACE, or career planning in general). Find the slope of the line through each pair of points. (4, 18), (4, -11) What was Art Spiegelman purpose for writing Maus? how is the 10th amendment reflected in the Missouri constitution Write two paragraphs discussing Thomas Jefferson's experiences as president The same resultant force acts on objects 1 and 2. Object 1 accelerates at 2m/s and Object 2 accelerates at 5m/s. Which object has the greater mass? 1. Write a letter to your penpal about the effect of water pollution in your area.2.Write a story that ends with 'had I know is always at last.3. Write a letter to the member of parliament in your area on the three importance things in yourschoolRead or1. Punctuation2. Adverbs3. Prepostion4. Phrase5. ClausesWrite a summary of the story book you have read during vacation. Show that f is continuous on ([infinity], [infinity]). f(x) = 1 x2 if x 1 ln(x) if x > 1On the interval([infinity], 1),f is function; therefore f is continuous on([infinity], 1).On the interval(1, [infinity]),f is function; therefore f is continuous on(1, [infinity]). Who is in charge of Durham Cathedral? How do you solve a torque problem in physics? The Boston Massacre 17701. List all acts passed against the Colonists by 17702. What had been taking place in Boston since 1764? -What was the purpose of this invasion? - What affects did this cause between Colonists and the Red Coats?3. How did the entire event begin? Who do you think was in the right? Explain your thoughts?4. How did this interaction between the Red Coat and the Colonist lead to the problem becoming a bigger more violent one?5. How were the Colonists showing the RedCoats their hatred of them?6. What was the reaction of the RedCoats towards these Colonists?7. What happened to the RedCoats after the Massacre? Do you think this was a fair outcome? Explain why or why not. Please need help ASAP, ASAP Does mass affect change in temperature? WOULD YOU RATHER1. EAT A DOG OR2. STAY IN A ROOM WITH 15 SNAKES!! Can you think of any product or service that was in high demand, but, now, has become irrelevant or unnecessary What are 5 balanced diets? Describe the guiding thread(s) of thought that connect postmodernist educational philosophers and theorists. Compare this (these) with significant areas of difference among them. What are the educational ramifications of the similarities and the differences? Find the volume of the cylinder to the nearest tenth. Use 3.14 for4 in.I7 in.in Write the feature of the constitution of Nepal, 2072 In point