find the minimum value of the function f(x)= x2+2.6x-2 to the nearest hundredth.

Answers

Answer 1

Answer:

[tex](-1.3,-3.69)[/tex]

Step-by-step explanation:

Take the derivative of the function and set it equal to 0.

[tex]f(x)=x^2+2.6x-2[/tex]

[tex]f'(x)=2x+2.6 = 0[/tex]

Solve for x.

[tex]2x+2.6=0\\2x=-2.6\\x=-1.3[/tex]

Find [tex]f(-1.3)[/tex]

[tex]f(-1.3)=(-1.3)^2+2.6(-1.3)-2[/tex]

[tex]f(-1.3)=-3.69[/tex]


Related Questions

Show that the flux of F =e_{r}/r^2 through a sphere centered at the origin does not depend on the radius of the sphere.

Answers

Let S be and show is a sphere of radius R centered at the arigin. We will compare the flux that it does not depends on R. Parametic equation of sphare Y(4,0)= Rsind caso + Rsind sine j + R Cord F

and 014≤ 640 ≤ 2TT outward normal is

(r = 18) = √x² + y²+z2)

= F = ૪ 3

flux = [[Finds

. Rsing dodo = 83

(from put value of n

13 sind do do 23

2 TT, TT sing do do

R 11 R [["e. / sind dado (r= 171 = radius of ephare)

Π 2T ए [e" [" sind do do= ["- Casp" "do 0

[-(-1-1) do 2TT = 2x (2-0) 2 = do flux

flux = [[F·ñ-ds S = 4π

The flux is 411 and it depends on radius 'R'

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Which function represents a function with direct variation?.

Answers

Functions of the form  f(x)=kx represents direct variation.

The table of values that appears a constant proportion between two variables speaks to a direct variation function.

A direct variation is an equation in the form y = kx, where k is the constant of variation.  Since it is in this form, the equation will pass through the origin (0, 0); this is because if we use 0 as x, y = k(0) = 0.

In the event that there's at slightest one pair of values that features a different proportion, at that point the function isn't a direct proportion.  the equation applies to each corresponding value between the two variables. Functions of form f(x)=kx, where k is the constant, are as they were functions that can speak to a direct variation. T

Therefore, A direct variation is an equation in the form y = kx, where k is the constant of variation.  Since it is in this form, the equation will pass through the origin (0, 0); this is because if we use 0 as x, y = k(0) = 0.

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all of these are factors that influence whether an infant will show stranger wariness except .

Answers

All of the aforementioned are factors that influence whether an infant will show stranger wariness except: A. the infant's ability to regulate emotion.

What is stranger wariness?

In Psychology, stranger wariness is sometimes referred to as stranger anxiety or stranger fear and it can be defined as any form of distress and apprehension that is typically experienced by infants (young children or babies) when they are around or within the proximity of individuals who are strange (unfamiliar) to them.

This ultimately implies that, stranger wariness simply refers to a form of distress and apprehension which an infant (young child or baby) experiences when exposed to strangers.

In this context, we can reasonably infer and logically deduce that the ability of an infant (young child or baby) to regulate emotion is not a factor that would influence whether an infant shows stranger wariness.

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Complete Question:

All of these are factors that influence whether an infant will show stranger wariness EXCEPT ______.

A. the infant's ability to regulate emotion

B. the overall temperament of the infant

C. the past experience of the infant

D. the situation in which the infant meets the stranger

Jessica is photographing birds. She tilts her camera so that it first forms a 34° angle with the ground. She then tilts it up some more so that it forms a 63° angle with the ground.

How many degrees does she tilt the camera from its first position to its second position?

Answers

The photographing of Jessica as depicted shows adjacent angles and the angle she tilt the camera from its first position to its second position is 29 degrees

What are adjacent angles?

When two angles have a similar vertex and side, they are referred to as adjacent angles.

The vertex of an angle is the point at which the rays that make up its sides come to an end. Adjacent angles have same vertex and side, they can be a complimentary angle or supplemental angle but in this case the sum is 63 degrees. This is to say that

? + 34 = 63

? = 63 - 34

? = 29

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Which graph is an example of direct variation?.

Answers

Graphs having an equation in the form y = kx, is an example of direct variation.

The graph that represents a function with a direct variation is (b)

For a graph to represent a function with direct variation, the following must be true

The function must be a linear function

The slope of the function must not be 0 or undefined

The function must pass through the origin

The only graph that satisfies the three highlights above is graph (b)

Hence, the graph that represents a function with a direct variation is (b)

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Context and sensory clues aid one in deciding whether or not something occurred. this is called __________. a. reality monitoring b. source monitoring c. misinformation effect d. source-monitoring error

Answers

Option-A is correct that is reality monitoring. One can determine whether or not something happened with the use of context and sensory evidence. This is referred to as reality monitoring.

Given that,

One can determine whether or not something happened with the use of context and sensory evidence. This is referred to as----

We have to fill the blank.

We know that

What is sensory context?

sensory environment The auditory system adjusts to continuing, presumably irrelevant regularities in the acoustic environment in order to improve reactions to unexpected and possibly significant sounds, according to a prevalent theory in studies of sensory context.

We get,

The capacity to discern internally created information from external reality is known as reality monitoring.

Therefore, Option-A is correct that is reality monitoring. One can determine whether or not something happened with the use of context and sensory evidence. This is referred to as reality monitoring.

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8. A table holds 4 cheese pizzas, 4 pepperoni
pizzas, and 2 supreme pizzas. How can
you write a ratio that compares part of
the pizzas to the total?

Answers

Answer: I don't know

Step-by-step explanation:

You got this pal!

write code to assign x and y coordinates to currcoord, and store currcoord in locations. input first receives an x value, then a y value. input example: 12 32 88 2 -1 -1

Answers

It will be feasible to create a coordinate code that looks like this using the knowledge of the Python computational language:

Writing coordinate code in python:

 def __init__(self, x, y):

        self.x = x

        self.y = y

  def getX(self):  

    directly

         return self.x

  def getY(self):

    return self.y

 def __str__(self):

      return '<' + str(self.getX()) + ',' + str(self.getY()) + '>'

class Coordinate(object):

  def __init__(self,x,y):

      self.x = x

      self.y = y

  def getX(self):

     return self.x

  def getY(self):

      return self.y

  def __str__(self):

     return '<' + str(self.getX()) + ',' + str(self.getY()) + '>'

    def __eq__(self, other):            

      if other.x == self.x and other.y == self.y:

          return True

      else:

          return False

  def __repr__(self):

      return "Coordinate"+ str((self.x, self.y))

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there are 96 boys and 112 girls in a primary school . write the ratio of the boys to the girls

Answers

Answer:

6 : 7

Step-by-step explanation:

the ratio of

boys : girls

= 96 : 112 ( divide both parts by 16 )

= 6 : 7

The number of newspapers sold decreases exponentially by x% each year.
Over a period of 21 years the number of newspapers sold decreases from 1763 000 to 58000.

Calculate the value of x.

Answers

In the exponential decrease function, the rate of decline is approximately 17.7%

Exponential Function

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828. An exponential curve grows, or decay depends on the exponential function. Any quantity that grows or decays by a fixed per cent at regular intervals should possess either exponential growth or exponential decay.

In this problem, we can write an exponential function as

58000 = 1763000(1 + x)⁻²¹

Solving for x

x = 0.1765

Converting this into percentage;

x = 0.1765 * 100 = 17.7%

The rate is 17.7%

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On the planet gepil, there are 6 dibble to every 10 toy. If farmer Kent ha 50 dibble on her quet farm how many yoy are on the farm your anwer may be your eaccute to the nearet tenth

Answers

If a farmer has 50 dibbles then the number of toys would be 84.

What are ratio and proportion?

A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other. For example, if there is one boy and three girls, the ratio could be written as 1: 3. (for every one boy there are 3 girls) One-quarter are boys, and three-quarters are girls.

For every 10 toys, there are 6 dibbles.

so for 50 dibble there will be =  10 * 50/6

                                             = 500/6

                                             = 83.33

                                             ≈ 84 toys

Hence, if a farmer has 50 dibbles then the number of toys would be 84.

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TRUE/FALSE return values are type-specific in php functions (a function only returns a value of a specified data type.)

Answers

Return values are type-specific in php functions The answer is False.

What is php function?

A PHP function is a piece of code that is very reusable. It can accept an argument list as input and return a value. Inbuilt functions in PHP number in the thousands.

You can develop your own functions in addition to the built-in PHP functions.

A function is a collection of statements that a programme can use repeatedly.

When a page loads, a function won't start running immediately.

A call to a function will cause the function to run.

In this a function only returns a value of a specified data type.

Hence, the given statement return values are type-specific in php functions is FALSE

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Let z* be the common (finite) optimal value of P and D. Suppose that I is a basic infeasible solution to P whose complementary dual basic solution is feasible. Is it possible that the common objective value of this pair of primal-dual basic solutions is z*? For the linear program: Minimize{x1 : 2x1 – X220, -2x1 +3x2 2-6, x>0}, consider the basic feasible solution with a basis comprised of the columns of x1 and the slack variable in the second constraint. Give the associated complementary dual basic solution. What can you say about this pair of primal-dual basic solutions?

Answers

Pair of primal-dual basic solutions is [tex]x_1 = -3-S_1/2[/tex].

Given that

Let z* be the common (finite) optimal value of P and D.

Suppose that I is a basic infeasible solution to P whose complementary dual basic solution is feasible.

Here, for linear program, we have to

Minimize {x1 : 2x1 - x2 [tex]\geq[/tex] 0, -2x1 + 3x2 [tex]\geq[/tex] - 6}, x1 [tex]\geq[/tex] 0

Stimulate equation 1 and equation 2:

 [tex]2x_1 - x_2 = 0\\\\-2x_1 + 3x_2 = -6[/tex]

Canceling [tex]-2x_2[/tex] from both the equations, we get

[tex]2x_2[/tex] = -6

= [tex]x_2[/tex] = -3

So now,

[tex]2x_1 + 3 + S_1 = 0\\\\x_1 = -3-S_1/2[/tex]

Hence the answer is pair of primal-dual basic solutions is [tex]x_1 = -3-S_1/2[/tex].

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Mr. Cho received a container of fresh eggs. He sold 1/3 of the eggs in the morning and sold 320 eggs in the afternoon. At the end of the day, he found that 1/4 of the egs were not sold. How many eggs did he receive in the beginning?

Answers

Answer:

768

Step-by-step explanation:

Define the variable:

Let x be the number of eggs Mr Cho received in the beginning.

Given information:

Mr Cho sold 1/3 of the eggs in the morning.Mr Cho sold 320 eggs in the afternoon. At the end of the day, Mr Cho found that 1/4 of the eggs were not sold.

Create an equation with the defined variable and the given information:

[tex]\implies x - \dfrac{1}{3}x-320=\dfrac{1}{4}x[/tex]

Solve for x:

[tex]\implies \dfrac{2}{3}x-320=\dfrac{1}{4}x[/tex]

[tex]\implies \dfrac{2}{3}x-320-\dfrac{1}{4}x=\dfrac{1}{4}x-\dfrac{1}{4}x[/tex]

[tex]\implies \dfrac{5}{12}x-320=0[/tex]

[tex]\implies \dfrac{5}{12}x-320+320=0+320[/tex]

[tex]\implies \dfrac{5}{12}x=320[/tex]

[tex]\implies 12 \cdot \dfrac{5}{12}x= 12 \cdot 320[/tex]

[tex]\implies 5x=3840[/tex]

[tex]\implies \dfrac{5x}{5}=\dfrac{3840}{5}[/tex]

[tex]\implies x=768[/tex]

Therefore, Mr Cho received 768 eggs in the beginning.

Total eggs be x

Form a equation

x-x/3-320=x/4x-320=x/4+x/3x-320=7x/1212x-3840=7x5x=3840x=768

I will give Brainlest!
The answers will either be yes or no

Answers

The classification of the equations as direct or indirect variations are;

1) Direct Variation

2) Direct Variation

3) Indirect Variation

4) Indirect Variation

How to find direct and indirect variation?

Direct variation occurs when one quantity changes and the other quantity changes as well in direct proportion. Meanwhile, Inverse variation is exactly opposite of that.

Now, let us answer the questions;

1) y = 4x + 1

This shows that y is directly proportional to x because as x is increasing, y is increasing and vice versa. Thus, it is a direct variation.

2) y = 7.5x

This shows that y is directly proportional to x because as x is increasing, y is increasing and vice versa. Thus, it is a direct variation.

3) y = (1/15)x

This shows that y is inversely proportional to x because as x is increasing, y is decreasing and vice versa. Thus, it is an indirect variation.

4) y = 6/x

This shows that y is inversely proportional to x because as x is increasing, y is decreasing and vice versa. Thus, it is an indirect variation.

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What do points in this app do for me?

Answers

by answering questions like i am, you will gain however many points the person asking puts. you can then use those points to ask more questions. if you’re out of points you need to answer a question to get more. hope this helped ! :)

Answer:

to post questions.

Step-by-step explanation:

The relationship between number of beers consumed (x) and blood alcohol content (y) was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study: y= -0.0127 + 0.0180x Suppose that the legal limit to drive is a blood alcohol content of 0.08.

Answers

0.0027 is the association between the quantity of beers d (x) and blood alcohol concentration (y) was investigated using least squares regression.

Given that,

In 16 male college students, the association between the quantity of beers d (x) and blood alcohol concentration (y) was investigated using least squares regression. This research produced the regression equation shown below: y= -0.0127 + 0.0180x Suppose a blood alcohol level of 0.08 is required to legally operate a vehicle.

We know that,

When five bears d, use x=5 to calculate the blood alcohol concentration.

y= -0.0127+0.0180*5=0.0773

So, his alcohol level is 0.0773 . this is clearly below legal level of 0.08

Then difference between his level and legal level= 0.08-0.0773= 0.0027

So, correct answer is

0.0027 below the legal limit

Therefore, 0.0027 is the association between the quantity of beers d (x) and blood alcohol concentration (y) was investigated using least squares regression.

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Which number line represents the solution set for the inequality 1/2 * x >= 4?.

Answers

The number line which represents the solution set for the inequality is second one.

What is number line?

In elementary mathematics, a number line may be a image of a graduated line that is visual illustration of the important numbers. each purpose of variety|variety} line is assumed to correspond to a true number, and each real to a degree.

Main body:

Start by solving for x.

-1/2x ≥ 4

Multiply each side by 2

-1x ≥ 8

then divide by -1....

but remember to flip your sign its a negative number.

x ≤ -8

hence, the second one is correct.

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1. -6 - 8(x - 5)= algebric expression'
2. x + 8 + 6x=

Answers

Answer:

I'm not sure if this is what you want to be solved.

[tex]-6-8(x-5)=-6-8x+40=34-8x[/tex][tex]x+8+6x=7x+8[/tex]

8.
Two airport shuttle trains leave the
main station at the same time, Shuttle
A returns to the station every 8 minutes.
Shuttle B returns to the station
every
10 minutes. In how many minutes
will Shuttles A and B leave the station
together for the second time?

Answers

Shuttles A and B leave the station together for the second time in 40 minutes.

What is LCM?

The smallest number that can be divided by both numbers is known as the least common multiple (LCM) of two numbers

Given that, the two trains leave the station at the same time, but shuttle A returns every 8 minutes while shuttle B returns every 10 minutes.

To find the time when both trains will leave the station together for the second time, find the LCM of 8 and 10.

The LCM of 8 and 10 is 40.

Hence, Shuttles A and B leave the station together for the second time in 40 minutes.

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a stiff equation is a differential equation where some numerical solution approaches are numerically stable unless you use extremely small step sizes. (T/F)
(F)alse

Answers

The given statement a stiff equation is a differential equation where some numerical solution approaches are numerically stable unless you use extremely small step sizes.is false.

What is a stiff equation

While integrating a differential equation numerically, one would expect the requisite step size to be relatively small in a region where the solution curve displays much variation and to be relatively large where the solution curve straightens out to approach a line with slope approaching to be zero. This is not always true in all the cases. In some cases in order for a numerical method to give a reliable solution to the differential system sometimes the step size is required to be at an very small level in a region where the solution curve is too smooth. The phenomenon is known as stiffness.

So, a stiff equation is a differential equation for which certain numerical methods for solving the equation are numerically unstable, unless the step size is taken to be extremely small.

Therefore, the given statement a stiff equation is a differential equation where some numerical solution approaches are numerically stable unless you use extremely small step sizes. is false.

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Find the equation of the line

Answers

The linear equation on the given graph can be written as:

y = (-1/4)*x - 6

How to find the equation of the line?

The general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the line intercepts the y-axis at y = -6, then the value of b is -6, so we can write:

y = a*x - 6

To find the value of the slope we can use another point on the graph, we can see that the line passes through (-8, -4)

Replacing these values we get:

-4 = a*-8 - 6

-4 + 6 = -8a

2/-8 = a

-1/4 = a

The linear equation is:

y = (-1/4)*x - 6

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Cooper and his children went into a grocery store and he bought $6 worth of apples and bananas. Each apple costs $1 and each banana costs $0.50. He bought a total of 10 apples and bananas altogether. Determine the number of apples, x, and the number of bananas, y, that Cooper bought.

Answers

Cooper bought 2 apples and 8 bananas.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.

Let x = number of apples

y = number of bananas

If he bought a total of 10 apples and bananas altogether, then

x + y = 10

Rearranging, x = 10 - y     (equation 1)

If each apple costs $1 and each banana costs $0.50, then the total cost of the apples and bananas he bought is $1x and $0.50y, respectively.

If he bought $6 worth of apples and bananas, then the total cost of the fruits is equal to $6.

$1x + $0.50y = $6

x + 0.5y = 6

Substitute equation 1 and solve for y.

x + 0.5y = 6

10 - y + 0.5y = 6

4 = 0.5y

y = 8

number of bananas = 8

Substitute the value of y to equation 1 and solve for x.

x = 10 - y

x = 10 - 8

x = 2

number of apples = 2

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Can you help me find the radius of the circle?

Answers

Answer:

r=4

Step-by-step explanation:

The radius is equal to half of the diameter. The diameter in this problem is 8 units; half of 8 is 4.

Answer:

The radius would be 4.

Step-by-step explanation:

The radius is always half of the diameter, which would be all the way around the circle. The radius would be halfway around the circle.

So looking at the graph, we can see that the circle surrounds the origin (0) 4 spots to the left and 4 spots to the right. This represents the diameter which is 8 and this can be found by adding the two directions (4 + 4) which gets you 8 as a sum. Now knowing this, we simply divide 8 by 2 and we get the radius which is 4.

Therefore, the answer is 4.

I really need help to get this done, please.

Answers

The area of sector q is [tex]\frac{\pi n^{2} }{9}[/tex]

What is a sector of a circle?

A sector is said to be a part of a circle made of the arc of the circle along with its two radii. It is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.

The circle is divided into 9 equal parts meaning that 1/9 the area of the circle is the area of circle q

Area of circle = [tex]\pi r^{2}[/tex]

Area of sector q = [tex]\frac{\pi r^{2} }{9}[/tex]

but r = n

Area of sector q = [tex]\frac{\pi n^{2} }{9}[/tex]

In conclusion, the area of sector q is [tex]\frac{\pi n^{2} }{9}[/tex]

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What is the common ratio between successive terms in the sequence 27 9 3 1?.

Answers

im pretty sure the awnser is 1/3, i hope this can help

a new restaurant is interested in determining the best time-temperature combination for roasting a five-pound cut of lamb. the times to be tested are 45 minutes, 60 minutes, and 90 minutes at temperatures of 350 degrees fahrenheit and 425 degrees fahrenheit for each time, with the exception of the 90 minute - 425 degree combination. that combination is being eliminated because it will overcook the lamb, which leaves five combinations remaining. from 10 identical cuts of lamb, 2 are randomly selected to roast using each of the time-temperature combinations in the same oven. the quality of the finished product is evaluated for each roast. which of the following is true?
The explanatory variable is the quality of the finished lamb.
If the experiment is repeated, identical results will be expected.
The two cuts that are being roasted for each time-temperature combination are an example of replication.
There should be a control group (i.e. a group in which no treatment is given).
The response variable is the roasting temperature for the lamb.

Answers

The two cuts that are being roasted for each time-temperature combination are an example of replication.

Given,

In the question:

The best time-temperature combination for roasting a five-pound cut of lamb. the times to be tested are 45 minutes, 60 minutes, and 90 minutes at temperatures of 350 degrees Fahrenheit and 425 degrees Fahrenheit for each time, with the exception of the 90 minute - 425 degree combination.

Now, According to the question:

In the question it is given that  From 10 identical cuts of lamb, 2 are randomly selected to roast using each of the time-temperature combinations in the same oven. Here it is an act of copying the exact shape size of the lamb in all cuts, which is nothing but replication. Moreover, this replication can help in proper comparison.

which of the following is true?

Hence, The two cuts that are being roasted for each time-temperature combination are an example of replication.

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An ice cream factory make 320 quart of ice cream in 10 hour. How many quart could be made in 48 hour

Answers

Answer:

In 48 hours the ice cream factory can make 1,680 quarts.

Step-by-step explanation:

Multiply UNIT RATE 35 by 48 to answer your first question.

studies show that gasoline use for compact cars sold int he untied states is normally distirbuted with a mean use of 25.5 miles per gallon and a standard deviation of 4.5 miles per gallon. what eprcentage of compact obtains 30 or more miles per gallon

Answers

0.1587  is eprcentage of compact obtains 30 or more miles per gallon by standard deviation.

What is standard deviation?

Your dataset's average level of variability is represented by the standard deviation. It reveals the average deviation of each statistic from the mean.

                               A low standard deviation means that values are clustered close to the mean, whereas a high standard deviation means that values are typically far from the mean.

P(X> 30 )

Normal distribution

μ = 25.5

σ = 4.5

P(X > 30 ) = Area to the right of 30

we convert this to standard normal using z = x - μ/σ

 z = 30 - ( 25.5 )/45  = 1.00

P(Z > 1.00 ) = Area to the right of 1.00

P( X > 30) = P( Z > 100) = 1 - P( Z < 1.00 ) = 1 - 0.8413

                = 0.1587

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Why we Cannot construct a triangle of given sides as 5 cm 5 cm and 10 cm?.

Answers

Answer:

Because the sum of the length of any two sides of a triangle is greater than the length of the third side

Step-by-step explanation:

Why we Cannot construct a triangle of given sides as 5 cm 5 cm and 10 cm?.

5+5=10 (not possible)

Other Questions
if the cost of producing sofas decreases causing the price of sofas to decrease, consumer surplus in the sofa market will A fixture will be subject to the ad valorem tax on personalty rather than the ad valorem tax on realty.True / False saola corporation filed its 2022 form 1120-s on december 28, 2023. saola is a calendar-year taxpayer with 30 shareholders. what amount will saola owe for failure to file on time? Another term used to describe negative inflation is: counter inflation OA. OB. deflation OC c. hyperinflation GDP deflator D. a nurse is caring for a client who is nursing her baby boy. the client reports afterpains. secretion of which substance would the nurse identify as the cause of afterpains? What are the 5 parts of a conclusion?. stacy is with a group of friends who are all drinking alcohol. they offer her some, and even though she does not drink, stacy desperately wants to fit in with her friends, so she decides to have a few drinks. stacy's decision to drink was a result of the: find+the+standard+deviation+for+a+security+that+has+three+oneyear+returns+of+5%,+10%,+and+15%.+question+content+area+bottom+part+1+a.+25.00%+b.+8.33%+c.+16.67%+d.+5.00% a top-performing seller, who sells items at an online marketplace, would like to test the claim that the average number of daily visitors to their online shop is greater than 980 visitors. to test this claim, at the 10% significance level, the top-performing seller collects the following data on a sample of 23 days and records the number of visitors. the following is the data from this study: c g given an array, write a function to move all 0's to the end of it while maintaining the relative order of the non-zero elements Which hipaa standard requires providers and their business associates to put in place policies and procedures that ensure privacy of the health record?. if a scientist wanted to know whether a particular hydrocarbon was in use in a cell's plasma membrane, they could search the organism's: Are senators elected or appointed?. nurse adminsters to. aclient with a respiratory tracti infection. to evaluate the medciations effectiveness, which laboratory values should the nurse monitor What is the perimeter of rhombus lmno? 20 units 24 units 40 units 48 units A box with a square base, and no top made of a square piece by cutting 5 in. squares from each corner and folding up the sides. The box is to hold 6480 in3. How big a piece of cardboard is needed? Is Hamlet hero or villain?. What is the cause of emergence of TNC and MNC?. Many Americans were suspicious of the Second Bank of the United States for which of the following reasons? a) They believed that it was controlled by leaders of the Whig Party.; b) They believed that it was controlled by southern plantation owners; c) They believed that it was controlled by a commercial elite; d) It refused to make any loans for business expansion; e) It refused to exchange bank notes for gold. african americans who attend church more than once a week live more than 13 years longer than african americans who never attend. (T/F)True