Please answer this question quickly for me

Please Answer This Question Quickly For Me

Answers

Answer 1

Answer:

Step-by-step explanation:

The inverse of the statement "If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent" is "If two triangles are not congruent, then the two sides and the included angle of a triangle are not congruent to two sides and the included angle of another triangle."


Related Questions

2.599 rounded to the nearest tenth

Answers

Answer:2.600

Step-by-step explanation:

2.599 rounded to nearest tenth will be 2.60 .

Given,

2.599

Here,

The concept of rounding states that if a decimal number is present and the digits after decimal is greater than 5 or less than 5 then the number can be rounded off .

For example:

Decimal number : 10.7

Estimated whole number : 11

Thus here the rounding off is required at tens place ,

So,

Number = 2.599

After round to nearest tenth = 2.60

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A 95 percent confidence interval of the form p + E will be used to obtain an estimate for an unknown population proportion p. If p is the sample proportion and E is the margin of error, which of the following is the smallest sample size that will guarantee a margin of error of at most 0.08?

Answers

Answer:

The sample size needed to guarantee a margin of error of at most 0.08 in a 95 percent confidence interval for an unknown population proportion p can be found using the formula:

n = (p(1-p)) / E^2

Where n is the sample size, p is the sample proportion, E is the margin of error, and Z is the Z-score for the desired level of confidence. Since we are using a 95 percent confidence level, the Z-score is approximately 1.96.

To find the smallest sample size that will guarantee a margin of error of at most 0.08, we need to plug in the values for E and Z into the formula and solve for n.

n = (p(1-p)) / (0.08)^2

Since we don't know the population proportion p, we can use a rough estimate of 0.5 to get a rough estimate of the sample size. This is known as the conservative sample size, because it is based on the worst-case scenario (i.e. the proportion is exactly 0.5).

n = (0.5 * (1 - 0.5)) / (0.08)^2

n = (0.25) / (0.0064)

n = 3906.25

So, the smallest sample size that will guarantee a margin of error of at most 0.08 is 3906.25.

It should be rounded up to 3907.

Step-by-step explanation:

D.

cotx
1+cscx
cotx
1-cscx
= 2 sec x
verify step by step

Answers

Answer:ok

Step-by-step explanation:kk

Determine whether f(x)=(x^2-2x-3)/(x^2+3x+2) has any holes. If it does, give the coordinates.

Answers

The function f(x) = x² - 2x - 3 / x² + 3x + 2 have holes at coordinate (-1, -4)

What are Holes of a Function

Function holes are areas of a function that are not defined. They can be caused by a lack of data, a lack of understanding of the problem, or a lack of knowledge of the domain. Function holes can lead to errors in the output of a function, as the function will not be able to produce a result for the undefined area. A hole is a location on the graph where the function's value is not known. When a rational function is simplified, its numerator and denominator will cancel if they have a common factor. The cancelled value creates a hole in the graph.

In the given question, we need to plot the function on a graph to determine it's holes.

f(x) = x² - 2x - 3 / x² + 3x + 2

Using a graphing calculator to plot this;

The holes in this function is located at a coordinate (-1, -4)

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Which quotation from "Miss Brill" develops the idea that Miss Brill longs for a sense of connection with other people? "But as Miss Brill wondered, the ermine toque turned, raised her hand as though she'd seen someone else, much nicer, just over there, and pattered away." "And Miss Brill's eyes filled with tears and she looked smiling at all the other members of the company. Yes, we understand, we understand, she thought though what they understood she didn't know."​

Answers

"And Miss Brill's eyes filled with tears and she looked smiling at all the other members of the company. Yes, we understand, we understand, she thought though what they understood she didn't know." Option B

What is a sense of connection?

Generally, When academics discuss the idea of a social connection, they are referring to the sensation of being a part of a community and having a general sense of proximity to the members of that community. It is clear from the information that science has gathered that this is a fundamental psychological need that must be met in order to experience contentment with one's life.

A human connection is a profound link that develops between individuals as a result of their shared experience of being noticed and loved. People are able to trust one another and share good energy with one another when they are having genuine human connections.

Human connection enables one to experience being heard and understood, as well as a feeling of belonging to a group.

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How do I solve this?

Answers

Line T crosses the x-axis at point R, with coordinates (k,0). Suppose that w is increasing at the constant rate of 5 units per second.

what is the rate of change of the area of triangle PQR with respect to time?

In the figure above, line T is tangent to the graph of

y=1/x2

at point

P

, with coordinates

(w,1/ w2 )

​, where

w>0

. Point

Q

has coordinates

(w,0)

. Line

T

crosses the

x

-axis at point

R

, with coordinates

(k,0)

. Suppose that

w

is increasing at the constant rate of 5 units per second. When

w=2

, what is the rate of change of the area of triangle PQR with respect to time? Determine whether the area is increasing or decreasing at this instant. Round to three decimal places.

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Which of the following is the value of x in the equation? 4x-3-5x=24

Answers

The value of x in the given linear equation 4x - 3 - 5x = 24 is:

x = 27

How to get the value of x in the equation?

Here we want to find the value of x in the equation:

4x - 3 - 5x = 24

Notice that this is a linear equation that depends on x.

To find the solution, we need to isolate x in one of the sides of the linear equation.

First, we need to group like terms so we get:

4x - 3 - 5x = 24

(4x - 5x) - 3 = 24

-x - 3  = 24

Now we can move the "-3" to the other side to get:

-x = 24 + 3

-x = 27

And now change the sign:

x = -27

That is the value of x in that equation.

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So, what is truth? Philosophers have struggled with this question since the dawn of time, perhaps because it's the hardest question ever asked. The field of epistemology is the subdiscipline of philosophy that grapples it, along with the nature of knowledge itself.

Answers

Answer:

Truth is being honest and not lie and get them upset.

Step-by-step explanation:

Evaluate the function over the domain {-2, -1, 0, 1, 2}. As the values of the domain
y = 2.5*
increase, do the values of the range increase or decrease?

Answers

The range of the function is {0.16, 0.4, 1, 2.5, 6.25}. With an increase in the value of the domain, the range of the function is increasing.

What is a function?

A function from a set X to a set Y allocates exactly one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

The given function is

f(x) = 2.5^x.

Given domain is {-2, -1, 0, 1, 2}.

Now putting x = -2, -1, 0, 1, 2 in the function f(x) = 2.5^x.

When x = -2:

f(-2) = 2.5^(-2)

f(-2) = 0.16.

When x = -1:

f(-1) = 2.5^(-1)

f(-1) = 0.4

When x = 0:

f(0) = 2.5^(0)

f(0) = 1.

When x = 1:

f(1) = 2.5^(1)

f(1) = 2.5

When x = 2:

f(2) = 2.5^(2)

f(2) = 6.25

The range of the function is {0.16, 0.4, 1, 2.5, 6.25}

The values of the range increase with the increase of domain.

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PLEASE HELP SERIOUSLY NEED IT​

Answers

Find out the perimeter of an Ellipse (oval,egg) we can use the by using the formula, perimeter = π × (a + b)[1 + (3 × h/(10 + √(4 - 3h)))]

What is the perimeter of an oval called?

The length of an ellipse's boundary is its perimeter. It is sometimes referred to as the ellipse's circumference (recall that perimeter is also known as the circumference for the curved shapes).

Perimeter of Ellipse

The length of an ellipse's boundary is its perimeter. It is sometimes referred to as the ellipse's circumference (recall that perimeter is also known as the circumference for the curved shapes). The orbits of the planets in our solar system, as well as 2D illustrations of objects like eggs and watermelons, are some instances of ellipses in nature. The collection of all points whose distance from two fixed points (referred to as foci) is always constant is known mathematically as an ellipse.

Perimeter of Ellipse Approximation Formulas

The circumference of the ellipse can be calculated using one of three approximate formulas. When the ellipse is nearly circular, or when the values of a and b are roughly equal, the first one is employed. When one of the values of "a" and "b" is noticeably larger than the other value, the second (or third) formulas are employed.

P ≈ π (a + b)P ≈ π √[ 2 (a2 + b2) ]P ≈ π [ (3/2)(a+b) - √(ab) ]

We can use either formula 2 or 3 to determine the perimeter when the values of "a" and "b" are not exactly identical. Formula 3 provides a value that is smaller than the actual value, but formula 2 provides a bigger value. By averaging the results from formulas 2 and 3, we can therefore reach a result that is reasonably close.

Other Possible Methods to find the Perimeter of Ellipse Ramanujan Formulas of Perimeter of EllipseInfinite Series Formulas of Perimeter of EllipseFormulas of Perimeter of Ellipse Using IntegrationPerimeter of Ellipse Using Arc LengthPerimeter of Ellipse Using Parametric Equations

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Laila is playing a game where there are 4 blue markers and
6 red markers in a box. She
is going to pick 3 markers,
and replace each marker immediately after she
picks it.

If she picks all 3 red markers, she will win a total of $400. If
the first 2 markers she picks are blue, she will win a total of $300. Under any other outcome, she will win $0.

What is the expected value of Laila's winnings?

Answers

Answer: $134.40

Step-by-step explanation:

Using probability, Laila's expected winnings are $126.67.

What is probability? Give an example.

The study of probability mathematics deals with the topic of a random event. A coin, for instance, could land on its Head or Tail if it were thrown into the air.

Finding the likelihood for each and every conceivable value, and then adding them all together, yields the expected value.

We must determine the likelihood and value of each conceivable outcome.

Laila chances of selecting three consecutive red markers are: (6/10)(5/9)(4/8) = 1/6

Laila's initial marker's likelihood of being red but not picking three straight red markers is 6/10 - 1/6 = 13/30.

Any other event has a probability of 1 - 1/6 - 13/30 = 2/5.

We can now write our expected value expression:

(1/6 × 500)+(13/30 × $100)+(2/5 × 0)

Laila's expected winnings are $126.67.

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In a triangle ABC,point D divides side DC in the ratio AD:DC is 1:2

Answers

The two sides are x and 2x.

What is a triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

Given here: In a triangle ABC,point D divides side DC in the ratio AD:DC is 1:2

Thus the two sides are x and 2x respectively.

and x+2x=DC

Hence, The two sides are x and 2x.

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On another ring, the number of rubies is 4 times the number of diamonds, write the ratio of rubies to diamonds

Answers

The ratio of rubies to diamonds is 4:1.

What is the ratio?

The ratio is the relative size of one value compared to another.

The ratio shows the quantity of a variable or number contained in another.

We depict ratios as fractional values, like proportions.

Fractional values can be represented as fractions, decimals, or percentages.

The number of rubies = 4x

The number of diamonds = x

The sum of ratios = 5x (4x + x)

The ratio of rubies to diamonds = 4:1

Thus, on this other ring, we can conclude that the ratio of rubies to diamonds is 4:1, meaning that rubies outnumber diamonds by 4 times.

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What is the range of the function y=3/x+8?
AYA8
-8 05y<
25y

Answers

Answer: (−∞,8)∪(8,∞),{y|y≠8}

Step-by-step explanation:

Answer: The range of a function is the set of all possible output values (y-values) for a given function.

For the function y = 3/x+8, we can find the range by analyzing the domain of the function. The domain of a function is the set of all input values (x-values) for which the function produces a valid output value.

The range of this function is all real numbers, since the denominator x+8 can't be equal to zero.

However, we can't express the range of the function as a specific set of numbers because the range is defined as all real numbers. The answer would be R

It's worth noting that if we change the function for example to y = 3/x-8, the domain would be x≠8 and the range would be y<-8/3

Step-by-step explanation:

WILL GIVE BRAINLIEST, NEED SOON! Finish solving the system of equations, y = x – 15 and y = –2x + 3, using the substitution method. 1. Use substitution to create a one-variable linear equation: x – 15 = –2x + 3 2. Solve to determine the unknown variable in the equation: 3x = 18 x = 6 3. Substitute the value of the variable into either original equation to solve for the other variable. 4. Write the solution to the system of equations as an ordered pair. The solution to the system is .

Answers

Solution to the given system of equations is (6, -9).

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=x-15 -----(I) and y=-2x+3 -----(II).

Substitute x=y+15 in equation (II), we get

y=-2(y+15)+3

y=-2y-30+3

3y=-27

y=-9

Substitute y=-9 in equation (II), we get

-9=-2x+3

-12=-2x

x=6

So, solution is (6, -9)

Therefore, solution to the given system of equations is (6, -9).

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HELP PLSSS 70 POINTS GOD BLESS WILL GIVE BRAINLIEST
PICTURE BELOW

Answers

Answer:

the correct answer is -1/16 i believe

Please help someone explain why is this the answer ​

Answers

Answer:

By the slope intercept equation y=mx+ c in which m is the slope.

Change the given equation into slope intercept form, y=-x+7. The coefficient of x will be the slope value which is -1.

What is the simplified value of the exponential expression 16 1/4

Answers

Answer:

Step-by-step explanation:

ans = 2

Answer:

2

Step-by-step explanation:

exponential 1/4 = sq root twice

so √16 =4, √4=2

In a few short sentences, tell me what takeaways you have from this unit? (What will you use in your future?)

Answers

This unit has provided me with a greater understanding of the different aspects of communication.

What is unit?

A unit is a standard measurement of a particular quantity. It is used to quantify or compare the amount or size of something. For example, the international system of units (SI) is a standard system of units that uses meters, kilograms, and seconds as its base units of measurement. Other examples of units include miles, pounds, inches, and Celsius.

It has enabled me to recognize the importance of active listening, being mindful of non-verbal cues and tailoring messages to the audience. I have gained insight into the various methods of communication, both verbal and non-verbal, and how to effectively use them for successful communication. I have also learned about the importance of setting clear expectations and maintaining a positive attitude to help ensure successful interactions.

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∠PQR​​​ is a right angle. Find ​​​m∠PQS​ and ​m∠SQR​.

Answers

Answer:

<PQS = 47

<SQR = 43

Step-by-step explanation:

A right angle equals 90°.

7x + 145 + 6x + 127 = 90  Combine like terms

13x + 272 = 90  Subtract 272 from both sides

13x = 90 - 272

13x = -182  Divide both sides by 13

x = -14

Substitute -14 for x

<PQS

7x + 145

7(-14) + 145

-98 + 145

47

<SQR

6x + 127

6(-14) + 127

43

43 + 47 = 90

If you buy one ticket in the provincial lottery, the probability that you will win a prize is 0.11. If you buy one ticket each month for three months, what is the probability that you will win at least one prize?

Answers

The probability that you will win at least one prize if you buy one ticket each month for three months is 0.314 or 31.4%.

How to find the probability?

The probability of not winning a prize in one drawing is 1 - 0.11 = 0.89.

If we assume that the draws are independent events, the probability of not winning a prize in three consecutive months is 0.89^3 = 0.686.

Therefore, the probability of winning at least one prize in three months is 1 - 0.686

= 0.314 or 31.4%.


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8
Solution.
The sum of three decimal numbers is 6. Exactly one of the numbers is less than what could the numbers be?show your work

Answers

The three decimal numbers are 0.5, 2.25 and 3.25 as Exactly one of the numbers is less than .

What is an average ?

average can be defined as ratio of the sum of the observations and total number of observations

From the information given,

we have to get three decimal numbers that have their sum as 6.0

Therefore, the three decimal numbers are 0.5, 2.25 and 3.25.

In order to confirm this, we can add the numbers together and check. This will be:

= 0.5 + 2.25 + 3.25 = 6.0

Also, from the numbers, 0.5 is less than 1.

Hence , The three decimal numbers are 0.5, 2.25 and 3.25.

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Triangle Theorems, What Is The Value Of X?

Answers

A triangle's x value is 120°. Using a triangle angle characteristics, an unknown angle can be found.

How to find the value of x in a triangle?The triangle in question is an equilateral triangle.Thus, all angles are equivalent to 60 degrees.So, for a triangle, we know that Interior angle + neighbouring outside angle = 180°, 60° + x = 180°, and x = 180° - 60° = 120°.Thus, a triangle's x value is 120°.From 180 degrees, deduct the sum of the two angles. A triangle's total angle measure is always 180 degrees. When you subtracted the sum of the two angles from 180 degrees, you discovered a difference. Note this difference down. The value of X is this.Bring the variable to the left side and the other values to the right side in order to find the value of x. To determine the answer, simplify the values.

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HELLPPPP ITS DO TOMORROW

Answers

The place value of the digit 6 in the given number is 0.006

What is place value?

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number. For example, the place value of 7 in 3,743 is 7 hundreds or 700. However, the place value of 7 in 7,432 is 7 thousands or 7,000.

Given that, California receives average rainfall of 0.476 m per year, we need to find the place value of 6 in the number given,

The number is 0.476

We know that, the first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place. The remaining digits continue to fill in the place values until there are no digits left.

Here, the place of 6 is after 2 digits after the decimal,

Therefore, the place of 6 is thousandths place,

Therefore, the digit 6 has value = 6 × 1/1000 = 0.006

Hence, the place value of the digit 6 in the given number is 0.006

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if RST=(3x+17)°, mSTR = (8x-32), and mTRS=(2x), find mRSN

Answers

The measure of angle RSN is obtained as follows:

m < RSN = 31º.

How to obtain the measure of angle RSN?

First we must consider that the sum of the measures of the internal angles of a triangle is of 180º.

The internal angles of triangle RST, along with their measures, are given as follows:

m < RST = 3x + 17.m < STR = 8x - 32.m < TRS = 2x.

The sum of these three measures is of 180º, hence the value of x is obtained as follows:

3x + 17 + 8x - 32 + 2x = 180

13x = 195

x = 195/13

x = 15.

Then the measure of angle RST is given as follows:

m < RST = 3(15) + 17

m < RST = 62º.

Angle RSN is a bisection of the angle RST, meaning that it has the measure half that of RST, hence:

m < RSN = 0.5 m < RST

m < RSN = 0.5 x 62

m < RSN = 31º.

Missing Information

The diagram is given by the image presented at the end of the answer.

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Solve 3x-y=7 and 3x+y=11 using substitution method

Answers

Answer:

x = 3 ; y = 2

Step-by-step explanation

3x - y = 7

= 3x - y - 7 = 0

= 3x - 7 = y — (equation i)

Substitute (equation i) into the second equation:


3x + (3x - 7) = 11

Expand the brackets by applying the Distributive Law and bring all the like terms together:

3x + 3x - 7 = 11

= 6x - 7 = 11

= 6x = 11 + 7

= 6x = 18

= x = [tex]\frac{18}{6}[/tex]

= x = 3


Substitute the calculated value of x into (equation i) to determine the value of y:

3 x - 7 = y

= 3(3) - 7 = y

= 9 - 7 = y

= y = 2

Need help with question attached below in an image.

Answers

The values of (f+g)(0) , (f-g)(0) , (fg)(0) are -5 , 7,-6 respectively for the given functions f(x) = 3x^2 - 4x + 1 and g(x) = x-6

What is function ?

Function can be defined in which it relates an input the output.

Given functions ,

f(x) = 3x^2 - 4x + 1 and g(x) = x-6

(f+g) (x)  =  3x^2 - 4x + 1 + x-6

(f+g) (x) = 3x^2 - 3x - 5

(f+g)(0) = 3(0) - 3(0) - 5

(f+g)(0) = -5

(f-g) x  = 3x^2 - 4x + 1 -( x-6)

(f-g)x = 3x^2 - 5x +7

(f-g)(0) = 3(0)-5(0) + 7

(f-g) (0) = 7

(fg)(x) = (3x^2 - 4x + 1) *( x-6)

(fg) (x) = 3x^3 - 4x^2 + x -18x^2+24x -6

(fg) (x) = 3x^3 - 22x^2 + 25x - 6

(fg) (0) = 3(0) - 22(0) + 25(0) - 6

(fg) (0) = -6

Hence, The values of (f+g)(0) , (f-g)(0) , (fg)(0) are -5 , 7,-6 respectively for the given functions f(x) = 3x^2 - 4x + 1 and g(x) = x-6

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a pharagraph on water

Answers

Answer:

Water is the only molecule because of which life is possible on Earth. In outer space, the conditions are so hostile that Water cannot be found in its natural form- liquid. This liquid Water has been giving us sustenance throughout billions of years.

Step-by-step explanation:

mark me brainleit plss

All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 25% of students brought their lunch. 50 students brought their lunch. How many students in total are in Ridgewood Junior High School?

Answers

Answer:

125

Step-by-step explanation:


If y = 3x - 7,x > 0, what is the minimum product of x2y?

Answers

On solving the provided question, we can say that we have the equations as  y = 3x - 7 where x > 0. so let us assume x = 4 = > y = 5

What is equation?

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

here,

we have the equations as

y = 3x - 7 where x > 0

so let us assume x = 4

y = 5

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Other Questions
The following cash flows are for two mutually exclusive investment options. Use them to answer questions #1-5.Time:012345Project A-50050250450100-200Project B-500140140140140140Assuming WACC is 7%, calculate Project As net present value.Assuming WACC is 7%, calculate Project Bs net present value.Calculate each project's internal rate of return; which project is superior according to IRR?Calculate the crossover rate where the two projects net present values are equal. Cost-volume-profit analysis identifies and measures costs using their - components: O fixed O variable O mixed O fixed and variable Show that the principal stresses in a thin-walled closed-end, linear elastic cylinder (shown below), subjected to internal pressure P in equilibrium are given by: sigma_z = PR/2t sigma_theta = PR/t sigma_T 0 Where R is the radius, L the length and t the wall thickness (t At each stage in its life cycle, a product receives Inputs of materials and energy, produces outputs of materials or energy that move to subsequent phases, and releases wastes into the environment. Properly place the following labels on the life cycle Inventory figure. - Manufacturing processing and formulation -Raw materials acquisition - Distribution and transportation -Use/reuse maintenance -Waste management -Recycling A superconducting solenoid is to be designed to generate a magnetic field of 3.50 T. If the solenoid winding has 984 turns/m, what is the required current? (Mo = 417x 10-7 T-m/A) 2.8E+3 A 1.4E+3 A 4.5E+2 A 2.3E+2 A 9.0E+2 A the management of an organization is less able to afford a strike when If the ability to sell and the amount of production facilities devoted to each of two products is equal, it is profitable to increase the sales of that product with the highest contribution margin.TrueFalse for the general population, a 10 percent increase in the price of cigarettes leads to a Complete this function so that it returns the positions of all negative values in the given vector. c++#include using namespace std;vector negative_positions(vector values){. . . result;. . .return result;} true/false. you must test the data a user enters to ensure it is accurate and that its use in other programming statements will not cause a program exception. (Q14 in book): Larry Ellison starts a company that manufacturers high-end custom leather bags. He hires two employees. Each employee only begins working on a bag when a customer order has been received and then she makes the bag from beginning to end. The average production time of a bag is 1. 8 days with a standard deviation of 2. 7 days. Larry expects to receive one customer order per day on average. The inter-arrival times of orders have a coefficient of variation of 1. The expected duration, in days, between when an order is received and when production begins on the bag, equals: ______________________ [days]. (Note, this duration includes the time waiting to start production but do not include the time in production. ) Question 5 options: at which point (or points) on the ellipsoid x2 4y2 z2 = 9 is the tangent plane parallel to the place z = 0? larghe amounts of long-stored organic material will bgin to decay and release carbon dixxiode when extneive areas of In experiment 1, a student places a ball on a tee and hits the ball with the bat as hard as they can. In a second test, the same student hits the ball half as hard. Both times, the student measures how far the ball travels. In experiment 2, a student places 3 33 books on a rolling chair and gives the chair a push. They then place 10 1010 books on the chair, and the student gives the chair a push with the same force. Both times, the student measures how far the chair rolls. Which experiment is the better test of how force affects an objects motion? the african rift valley, red sea, and atlantic ocean are in the correct order from earliest to most advanced steps of sea-floor spreading. true or fulse Calculate G for each reaction at 298K using Gf values. (a) MnO2(s) + 2 CO(g) Mn(s) + 2 CO2(g) kJ (b) NH4Cl(s) NH3(g) + HCl(g) kJ (c) H2(g) + I2(s) 2 HI(g) kJ 1- what is the advantage of a diffraction grating over a double slit in dispersing light into a spectrum? You win a well-known national sweepstakes. Your award is $100 a day for the rest of your life! You put the money in a bank where it earns interest at a rate directly proportional to the amount M which is in the dM account. So, =100+ KM where k is the growth constant dt m a.) Solve the DEQ (in terms of t and k) given that at t=0 days, there is no money in the account. dM 100 KM dt AM | 10/100+ KM)= t. 100+ KM = (k M= Cekt - 100 100-KM = fe at - K b.) Suppose you invest the money at 5% APR. So k=. Solve the DEQ completely. 365 c.) How much money will you have at the end of one year? d.) Assuming you live for 75 more years how much will you take to the grave with you if you never spent it? e.) How long will it take you to become a millionaire? f.) How long will it take you to become a billionaire? write a c program to storeand calculate the sum of 5 numbers entered by the user using arrays. When the column was changed to a new Nova-Pak C18 Column, (new Column: 60, 3 m, 3.9 mm X 150 mm) (old column: Nova-Pak C18, 60, 4 m, 3.9 mm X 150 mm), the peak resolution increased. Which factor in the Van Deemter equation illustrates this phenomenon and explain how that works. Please elaborate in full :)