Solve the equation.
- 9/4v + 4/5 =7/8

Answers

Answer 1

Answer:

-1/30

Step-by-step explanation:


Related Questions

Which of the following is a solution of the equation 2x y 10 *?

Answers

The solution of the given equation 2x + y = 10 is equal to option b. x = 2 and y = 6.

As given in the question,

Given equation is equal to :

2x + y = 10

Simplify and Check which given option represent the solution of the equation :

a. x = 9

2(9) + y = 10

⇒y = -8

Incorrect option.

b. x = 2

2(2) + y = 10

⇒y = 6

Correct option.

c. x = 1

2(1) + y =10

⇒y = 8

Incorrect option

d. x =4

2(4) + y = 10

⇒y = 2

Incorrect option

Therefore, for the given equation 2x + y = 10 , option b . x = 2 and y = 6 is the correct answer.

The given question is incomplete , the complete question is :

Which of the following is a solution of the equation 2x + y = 10?

a. x = 9 and y = 3

b. x = 2 and y = 6

c. x = 1 and y = 7

d. x = 4 and y = 3

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Which is a quadratic equation in FACTORED FORM?
A
f(x)=2x2+5x−12f(x)=2x^2+5x-12f(x)=2x
2
+5x−12

B
f(x)=2x+5f(x)=2x+5f(x)=2x+5

C
f(x)=2(x+5)2−12f(x)=2(x+5)^2-12f(x)=2(x+5)
2
−12

D
f(x)=2(x+5)(x−12)f(x)=2(x+5)(x-12)f(x)=2(x+5)(x−12)

Answers

Answer:

Step-by-step explanation: it is b

What is the median of first 5 numbers?

Answers

The median of 1,2,3,4,5 is 3.

The median is the middle point in a dataset—half of the data points are smaller than the median and half of the data points are larger.

Here we have to find the median of 1,2,3,4,5.

Here we can see that there are 5 numbers given

so, n= 5  which is an odd number so we will use the formula for finding the median in the case of the odd number of data.

So, M = 5+1/2 = 3

Thus the median is the 3rd term which is 3.

Therefore, the median of 1,2,3,4,5 is 3.

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What is parallel to Y =- 5x 4?

Answers

The system of equations of line parallel to y = -5x + 4 is y = -5x + c where c is any arbitrary value of y-intercept.

The linear equation y = -5x + 4 is a straight line with slope -5 and y-intercept 4.

The slope of parallel lines are equal. So any line with slope -5 is parallel to the line y = -5x + 4. So the equation of a line with slope -5 is

y = -5x + c

where c is a constant

c represent arbitrary value of y-intercept.

For example y = -5x + 2 is a straight line parallel to y = -5x + 4 but having value of y-intercept equal to 2.

--The question is incomplete, answering to the question below--

"What is parallel to y = -5x + 4?"

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You plan projects revenue of $5,000, $8,000, and $10,000, in years 1 through 3. Expenses are projected to be $9,000 for each of years 1 through 3. If your only funding need is the gap between revenue and expenses, which is the best estimate of your maximum cumulative funding need?

Answers

The best estimate of your maximum cumulative funding needed, based on the projected revenue and the expenses is $ 4, 000.

How to find the  maximum cumulative funding needed ?

The maximum cumulative funding needed would be the amount that would be total gap between revenue and expenses in the three years that the plan will be in effect.

In year 1, the gap is :
= 5, 000 - 9, 000

= $ - 4, 000

In year 2, the gap is:

= 8, 000 - 9, 000

= $ - 1, 000

In year 3, the gap is:
= 10,000 - 9, 000

= $ 1, 000

The cumulative funding needed is :
= ( -4,000 + - 1, 000 ) + 1, 000

= - $4, 000

You have a maximum cumulative funding needed of $ 4, 000.

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In 2005, 13.1 out of every 50 employees at a company were women. If there are 46,043 total company employees, estimate the number of women.​

Answers

There would be about 3,515 women

Each interior angle of a regular polygon is 120°.

Find the value of each exterior angle of the polygon.​

Answers

Answer:

exterior angle = 180° - 120°

                        = 60°

Answer:

60 degrees

Step-by-step explanation:

180-120=60

what is the greatest common factor for 32 and 81
(HURRYYY))

Answers

Answer:

9 :)))))))))))

Which expression can be used to find the sum of the polynomials 9 3x² 8x² 4x 5?

Answers

The expression which represents the sum of polynomials (9-3x²) and (-8x²+4x+5) is -11x² + 4x + 14

What is polynomial equation?

A polynomial equation is an algebraic equation that consists of variables and coefficients, which are often real numbers, and exponents which are non-negative integers. Polynomial equations can have one or more terms, and can involve addition, subtraction, multiplication, division, and exponentiation.

According to the given question:

The sum of polynomials can be calculated by combining like terms where there are multiple of the same variable.

= (9-3x²) + (-8x²+4x+5)

= 9 - 3x² - 8x² + 4x + 5

= -11x² + 4x + 14

Therefore, the expression which represents the sum of polynomials (9-3x²) and (-8x²+4x+5) is -11x² + 4x + 14

Complete question:

Which expression can be used to find the sum of the polynomials?

(9-3x²) and (-8x²+4x+5)

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Can 55 years old get SSS?

Answers

No They can not because you need to be at least 62 years old

What SAS stand for in math?

Answers

It’s the SAS theorem or Side angle Side

What is the nature of the roots of x² − 3x 4 0?

Answers

The nature of the roots of the given equation x^2 - 3x - 4 = 0 is real and unequal.

The general form of a quadratic equation is ax^2 + bx +c = 0.

Comparing the given equation x^2 - 3x - 4 = 0 with the general form of quadratic equations, we get that:

a = 1,  b = -3 and c = -4

If b^2 - 4ac > 0, then we say that the nature of the roots of the equation is real and unequal.

Therefore,  b^2 - 4ac = (-3) ^ 2 - 4 x 1 x (-4) = 25 >0

Hence, we conclude that the nature of the roots of the given equation is real and unequal.

The question is incomplete, the complete question is:

What is the nature of the roots of x² − 3x - 4 = 0?

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bowl a contains 2 red chips; bowl b contains two white chips and 1 red chip, and bowl c contains 1 red chip and 1 white chip. a bowl is selected at random, and one chip is taken at random from that bowl. if the selected chip is white, what is the probability that the chip belongs to bowl c?

Answers

Therefore  the probability that the chip belongs to bowl c is 1/3.

What is the process of probability?

Probabilities can be expressed as proportions with a 0–1 range or as percentages with a 0%–100% range. If an event has a probability of 1, it is very certain to occur; if it has a probability of 0, it has no chance of occurring. There are 45 chances out of 100 that an event will occur when its probability is 0.45 (45%).

Here,

A : 2 Red chips

B : 2 White chips

C: One Red and one White chip

P(selecting any bowl) = 1/3

1) We have to find P(W).

The selected chip can be white if it is either selected from Bowl B or Bowl C.

Symbolically this can be written as

P(W) = P(Bowl B and White chips) + P(Bowl A and White chips)

P(W) = [(1/3) × 1/1)] + [(1/3) × (1/2)]

P(W) = (1/3) + (1/6)

P(W) = 1/2

P(W) = 0.5

2) There is only one bowl with both of white and red chips and that bowl is bowl C. So it is possible the other chips in the bowl to red only if it has been selected from Bowl C.

So ,We need to find P(Bowl C | W).

P(Bowl C | W) = P(Bowl C and W)/P(W)

P(Bowl C | W) = (1/3) × (1/2)/(1/2)

P(Bowl C | W) = 1/3

Hence, the required probability is 1/3.

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How do you solve an inequality with 2 answers?

Answers

Answer:

Step-by-step explanation:

Example:

If you have the inequality 3<(x/9)+7

Begin with subtraction by subtracting 7 from both sides, rather than beginning with the parentheses x/9.

Do all processes to both sides of the inequality until you have solved for x.

Example: As mentioned in the previous step, you would begin by subtracting 7 from both sides.

So 3<(x/9)+7 becomes, -4<x/9

Now you would multiply both sides by 9 because the fraction x/9 is the same as x divided by 9, and the opposite of division is of course multiplication.

This process leaves you with the solution, -36<x, so x is greater than -36.

Remember that if your problem requires you to multiply or divide by a negative number, then you need to flip the inequality sign when you do so.

For example: If instead of multiplying by 9 in the previous problem you had to multiply by -9, you would get 36>x rather than 36<x.

A proportional relationship is shown here:
x = 0, 1.4, 2.8, 4.2, 5.6
y = 0, 1, 2, 3, 4
What is the slope of the line that represents this relationship?
Graph the line that represents this relationship.

Answers

Answer:

y=1.4x

Step-by-step explanation:

Find the relationship.

1.4/1=1.4

2.8/2=2.8

and so on so we know it is 1.4

so y=1.4x

What are the 7 whole numbers?

Answers

Answer:

There are an infinte amount of whole numbers

Step-by-step explanation:

7 examples are, 0, 3, 7 , 8 ,9 14, 39

A number, .f, rounded to 1 d.p. is 49.2
Another number, g,
rounded to 1 d.p. is 7.8
What are the lower and upper bounds of
f - g?

Answers

Answer:

3

Step-by-step explanation:

The lower bound of f-g is 41.31 .

The upper bound of f-g is  41.49 .

Given,

A number 'f' rounded to 1 decimal point is Number = 49.2

A number 'g' rounded to 1 decimal point is  Number = 7.8

Now,

The range of f rounded to 1 decimal point is [49.15 , 49.24].

The range of g rounded to 1 decimal point  is [7.75 , 7.84].

So,

Lower bound of f-g = 49.15 - 7.84

Lower bound of f-g = 41.31

Next,

Upper bound of f-g = 49.24 - 7.75

Upper bound of f-g = 41.49

Therefore the lower bound of f - g is 41.31 and upper bound of f - g is 41.49.

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Problem Solving in Santa's Workshop
Clifford works in the gift-wrapping department of Santa's
workshop. His job is to finish all the packages with a bow.
He is running low on bows and only has 100 bows left. He
begins working at 5:00 a.m. During the first half-hour, he
uses 12 bows. In the second half-hour, he uses 9 bows.
During the third half-hour, he uses 14 bows and in the
fourth half-hour, he uses 11 bows. Clifford uses 16 bows
during the fifth half-hour. If the pattern continues, during
which half-hour will Clifford run out of bows?

Answers

Answer:

Eighth half-hour

Step-by-step explanation:

Given pattern:

1st half hour = 12 bows used2nd half hour = 9 bows used3rd half hour = 14 bows used4th half hour = 11 bows used5th half hour = 16 bows used

Calculate the differences between the number of bows used:

[tex]12\underbrace{}_{-3}9\underbrace{}_{+5}14\underbrace{}_{-3}11\underbrace{}_{+5}16[/tex]

Therefore, the pattern for the bows used is:

-3, +5, -3, +5, etc...

If the pattern continues:

[tex]12\underbrace{}_{-3}9\underbrace{}_{+5}14\underbrace{}_{-3}11\underbrace{}_{+5}16\underbrace{}_{-3}13\underbrace{}_{+5}18\underbrace{}_{-3}15\underbrace{}_{+5}20[/tex]

6th half hour = 16 - 3 = 13 bows used7th half hour = 13 + 5 = 18 bows used8th half hour = 18 - 3 = 15 bows used9th half hour = 15 + 5 = 20 bows used

Create a table with the given and found data, and add a cumulative total column:

[tex]\begin{array}{c|c|c}\vphantom{\dfrac12} \textsf{Half Hour} & \textsf{Bows used per half hour} & \sf Cumulative\; total\\\cline{1-3} \vphantom{\dfrac12} \sf 1st & 12 & 12\\\vphantom{\dfrac12} \sf 2nd &9 &21 \\\vphantom{\dfrac12} \sf 3rd & 14&35 \\\vphantom{\dfrac12} \sf 4th & 11& 46\\\vphantom{\dfrac12} \sf 5th & 16& 62\\\vphantom{\dfrac12} \sf 6th & 13& 75\\\vphantom{\dfrac12} \sf 7th &18 & 93\\\vphantom{\dfrac12} \sf 8th & 15& 108\\\vphantom{\dfrac12} \sf 9th & 20& 128\\\end{array}[/tex]

If Clifford has a total of 100 bows, he will run out of bows during the eighth half-hour.

Amelia has a summer job mowing the lawn and trimming hedges for a neighbor. The number of minutes that amelia spends mowing the lawn is 10 minutes longer than three times the number of minutes it takes to trim the hedges. It takes Amelia a total of 120 minutes to complete both tasks

Answers

Using system of linear equations, Amelia spent 92.5 minutes mowing the lawn and 27.5 minutes trimming the hedges

System of Linear Equation

System of linear equations is the set of two or more linear equations involving the same variables. A linear equation can be defined as the equations of the first order, whereby the highest power of the variable in the equation is one.

To solve this problem, we have to write a system of linear equation;

Let;

x = number of minute spent mowing lawny = number of minute trimming the hedges

We can represent the problem with two set of equations as;

x + y = 120 ...eq(i)

x = 3y + 10 ...eq(ii)

From equation 1

x + y = 120

x = 120 - y ..eq(iii)

Put eq(iii) into eq(ii)

120 - y  = 3y + 10

collect like terms

120 - 10 = 3y + y

110  = 4y

y = 110 / 4

y = 27.5 minutes

Put y = 27.5 in equ(i)

x + 27.5 = 120

x = 120 - 27.5

x = 92.5 minutes

She spent 92.5 minutes mowing the lawn and 27.5 minutes trimming the hedges.

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Determine the equation of the circle with center (0, -5) containing the point
(-√109,-6).

Answers

x^2 + y^2 - 10y + (-85) is equation of the circle with center (0, -5) containing the point (-√109,-6).

How do you find the equation of a circle?

To find the equation of a circle with a given center and containing a given point, we can use the distance formula. The distance formula is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) is the center of the circle and (x2, y2) is the point on the circle. In this case, the center of the circle is (0, -5) and the point on the circle is (-√109, -6). Plugging these values into the distance formula, we get:

d = √((-√109 - 0)^2 + (-6 - (-5))^2)

d = √((-√109)^2 + (-1)^2)

d = √(109 + 1)

d = √110

Since the point (-√109, -6) is on the circle, the distance from the center of the circle to this point is the radius of the circle. Therefore, the radius of the circle is √110.

The equation of a circle with center (h, k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -5) and the radius is √110, so the equation of the circle is:

(x - 0)^2 + (y - (-5))^2 = (√110)^2

x^2 + y^2 - 10y + 25 = 110

x^2 + y^2 - 10y + (-85) = 0

This is the equation of the circle with center (0, -5) and containing the point (-√109, -6).

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Can I claim sickness benefit on Universal Credit?

Answers

Yes, you can claim sickness benefits on universal credit.

Here we have to find out if it is possible to claim the sickness benefit on Universal credit.

In order to find that, we must know the definition of universal credit,

The term universal credit refers to a payment to help with your living costs.

Here we have to know that as per the definition of universal credit here you can self-certify for up to the first 7 days of your claim by notifying Universal Credit that you have a health condition that prevents you from working. Then on the 8th day, your condition persists and if you have not already done so, then you will definitely need to submit medical evidence in order to claim for benefit.

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What are the three 3 semantics models of parameter passing for subprograms?

Answers

The three semantics models of parameter passing for subprograms are:  in mode, out mode, and inout mode

In this question we need to describe the three semantics models of parameter passing for subprograms.

The three semantics models of parameter passing for subprograms are:

1) in mode: They can receive data from corresponding actual parameters.

2) out mode: They can transmit data to the actual parameter.

3) inout mode: They can do both.

There are two conceptual models of how data transfers take places in parameter transmission: either an actual value is copied (to the caller, to the callee, or both ways), or an access path is transmitted.

Generally, the access path is a simple pointer or reference.

Therefore, in mode, out mode, and inout mode are 3 semantics models of parameter passing for subprograms

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What is the mode of 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6?

Answers

The mode for a particular set of observations is 2,3,4,5,6 since it occurs the majority of the time.

What is mode?

The mode formula is described in statistics as the formula for calculating the mode of a given collection of data. The value that occurs most frequently in a particular set is referred to as the mode, and the mode differs across grouped and ungrouped data sets. The mode may be calculated quite easily. Put all of the numbers in a given set in order, either lowest to highest or highest to lowest, and then count how many times each number appears in the set. The mode is the one that appears the most.

Here,

given set of observation:

2 2 2 3 3 3 4 4 4 5 5 5 6 6 6

Mode is the number which occurs the highest time.

So here 2,3,4,5,6 occurs the highest times(3 times).

So,2,3,4,5,6 is the mode.

The mode for given set of observation is 2,3,4,5,6 as it occurs most time.

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Is an asymptote a continuous function?

Answers

An asymptote is a line that a curve approaches but never touches, so it is not part of the curve itself. As a result, an asymptote is not a function. However, the curve that approaches an asymptote may or may not be a continuous function.

A function is continuous if it is defined for all values in its domain and there are no breaks or jumps in the graph of the function.

For example, consider the function f(x) = 1/x. This function has a horizontal asymptote at y = 0, but it is not continuous at x = 0 because the value of the function is undefined at this point (division by zero is not allowed).

On the other hand, consider the function f(x) = ². This function has no asymptotes and is continuous for all values of x.

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What's the numerator for the following rational
expression? 2/f+4/f=?/f

Answers

The numerator for the rational expression is 6

How to find the numerator for the rational expression?

Let us assume the value of numerator to be x

[tex]\frac{2}{f} +\frac{4}{f} = \frac{x}{f}[/tex]

Since these are fractions with same denominators (like fractions),

[tex]= > \frac{2}{f} +\frac{4}{f} \\\\ = \frac{2 +4}{f}\\\\= \frac{6}{f}[/tex]

x = 6

The numerator for the rational expression is 6

What are fractions?Fractions are used to depict the components of a whole or group of items. Two components make up a fraction. The numerator is the number that appears at the top of the line.It indicates how many equally sized pieces of the entire thing or collection were removed. The denominator is the quantity listed below the line. The total number of identical objects in a collection or the total number of equal sections that the whole is divided into are both displayed.The number of parts we take makes up a fraction when the whole is divided into equal parts.Fractions with same denominators are called like fractions.

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a normal distribution of scores has a standard deviation of 10. find the z-score corresponding to a score that is 30 points below the mean.

Answers

The z-score 30 points below the mean is -3

The normal distribution of scores has a standard deviation(σ) of 10

Below the mean is (X-μ)=-30

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

Z=(X-μ)/σ

Z=-30/10

Z=-3

Therefore, the z-score is -3.

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The calls of Hazar was 2370 the last month. He received 1645 calls. The calls of Huzan was less than those of Hazar, but Huzan received more calls than Hazar. Write a system of linear inequalities to represent the situation, then solve it to determine the possible number of calls received by Huzan and the number of calls dialled by him.

Answers

The possible values of calls recieved by Huzan is more than 1645 and calls made is less than 2370.

What is Inequalities of equations ?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.Inequality simply means that two things aren't equal. One of the items could be inferior to, superior to, greater than, or equivalent to the other things.
p ≠ q means that p is not equal to qp &lt; q means that p is less than qp &gt; q means that p is greater than qp ≤ q means that p is less than or equal to qp ≥ q means that p is greater than or equal to q
Different kinds of inequality exist. Important inequities include the following: the inequalities of polynomials
Inequalities in absolute values
Logic-based disparities
Calls made by Hazar = 2370
Calls recieved by Hazar = 1645Let the number of Calls by Huzan be x.
And the number of calls recieved by Huzan be y.
Then the inequalities arex&lt; 2370 and y&gt; 1645
The possible values of calls recieved by Huzan is more than 1645 and calls made is less than 2370.

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Describe the graph of the proportional relationship represented by the equation y = 7.5x.

Answers

The graph of the equation y = 7.5x shows the proportional relationship.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

y = 7.5x.

The graph of the equation y = 7.5x is shown below.

At x = 1, the value of y = 7.5,

At x = 2, the value of y = 7.5 x 2 = 15

At x = 3, the value of y = 7.5 x 3 = 22.5

And so on.

The value of y multiplied by 7.5 by increasing value of x by 1.

Thus, the graph of the equation  y = 7.5x shows the proportional relationship.

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my friend vreel purchased 22 rews and corazs for about $96 rews were $8 each and corazs were $3 each. write a systems of equations in standard form to model the relation ship between vreels rews (x) and conazs (y)

Answers

Answer:

Step-by-step explanation:

To model the relationship between Vreel's rews and corazs, we can set up a system of equations in standard form.

The standard form of a linear equation is Ax + By = C, where A, B, and C are constants and x and y are variables.

We know that Vreel purchased a total of 22 rews and corazs, and that the rews cost $8 each and the corazs cost $3 each. We can use this information to set up the following two equations:

The first equation represents the total cost of the rews: 8x + 0y = 96

The second equation represents the total number of rews and corazs that Vreel purchased: 1x + 1y = 22

Together, these two equations form a system of equations that can be used to model the relationship between Vreel's rews and corazs.

I hope this helps! Let me know if you have any other questions.

Find the slope from two points

Answers

Answer: 7/ -8

Step-by-step explanation:

The slope is rise/run

Our two points are (10,9) ( 2,16)

We see that y increased by 7, and the x decrease by 8

So the slope is 7/ -8

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Rank the radicals in order of decreasing stability. Most stable Least stable Answer Bank (CH3)2CH2CH3 (CH3)2C=CHCH2 (CH3)2CHCH2CH2 (CH3)2CHCHCH3 HCl + NaOH 2. Write the balanced chemical reaction for reaction 3. Be sure to include the states of matter and correct formulas. If applicable (ie: if you classified it as a precipitation reaction) include the net ionic equation as well. CHCool & Noot 1. Write the balanced chemical reaction for reaction 1. Be sure to include the states of matter and correct formulas. If applicable (ie: if you classified it as a precipitation reaction) include the net ionic equation as well. Write the balanced chemical reaction for reaction 5. Be sure to include the states of matter and correct formulas. If applicable (ie: if you classified it as a precipitation reaction) include the net ionic equation as well. + Naz po + Fecla 3. Write the balanced chemical reaction for reaction 5. Be sure to include the states of matter and correct formulas. If applicable (ie: if you classified it as a precipitation reaction) include the net ionic equation as well. Naz pa + Fecha 4. Write the balanced chemical reaction for reaction 7. Be sure to include the states of matter and correct formulas. If applicable (ie: if you classified it as a precipitation reaction) include the net ionic equation as well. (NH4)2CO + Cucla URGENT!! ILL GIVE BRAINLIEST!!!! AND 100 POINTS!!! the requirements for becoming president of the united states are set forth in of the u.s. constitution Which of these is a benefit of agile mcq tcs? How do you find the z-score for a sample mean on the distribution of means? Identify the sugars in amygdalin. Select all that apply. Sucrose Glucose Fructose Ribose Identify the glycosidic linkage that connects the sugars. 1, 5' 1.3' 1.4' 1.6' What is the unit of wavelength? blood drains out of the spleen through the ______. Imagine a scientist detects an electromagnetic wave with a higher frequency than that of most gamma-ray waves. The scientist calls these waves delta rays. Which of these statements would be true of delta rays?. describe (a) the similarities and (b) the differences between the bulk-deformation processes described in chapter 6 and the sheet metal forming processes described in this chapter. A firm's production function is the relationship between:the inputs employed by the firm and the resulting costs of production.the factors of production and the resulting outputs of the production process.the demand for a firm's output and the quantity it is able to produce with available resources.the firm's production costs and the amount of revenue it receives from the sale of its output.The term "fixed input" refers to:inputs to production that do not vary with respect to quality.inputs to production that do not vary in price.inputs to production that yield a constant or "fixed" marginal product.inputs to production, the quantity of which cannot be varied in the short run.The main difference between the short run and the long run is that:in the short run all inputs are fixed, while in the long run all inputs are variable.in the short run the firm varies all of its inputs to find the least-cost combination of inputs.in the short run, at least one of the firm's input levels is fixed.in the long run, the firm is making a constrained decision about how to use existing plant and equipment efficiently.Which of the following would be classified as a short-run decision?A firm's decision to decrease the amount of electricity used in day-to-day operations by encouraging employees to adopt conservation strategies, e.g., shut off lights when leaving a room.A restaurant's decision to increase the number of patrons it can accommodate by adding on a new dining room.A trucking firm's decision to move to a smaller facility.A university's decision to add a new residence hall.The amount of output a firm can produce with a given quantity of fixed and variable inputs is called:total product.average variable product.marginal product.total fixed product.The following is a hypothetical short-run production function:Hours of Total MarginalLabor Product Product0 ___ ___1 100 1002 ___ 803 240 ___Refer to the table shown here. What is the total product when 2 hours of labor are employed?Refer to the table shown here. What is the marginal product of the third hour of labor?6080100240The following is a hypothetical short-run production function:Hours of Total MarginalLabor Product Product0 ___ ___1 100 1002 ___ 803 240 ___Refer to the table shown here. What is the average product of the first three hours of labor?6080100240The following is a hypothetical short-run production function:Hours of Total MarginalLabor Product Product0 ___ ___1 100 1002 ___ 803 240 ___Refer to the table shown here. The production function illustrated in the table:incurs diminishing marginal returns beyond the first unit of labor.incurs diminishing marginal returns beyond the second unit of labor.incurs diminishing marginal returns beyond the third unit of labor.does not incur diminishing marginal returns because marginal product is positive for each unit of labor employed.Which of the following statements concerning the relationships among the firm's total cost functions is false?TC = TFC + TVCTVC = TFC - TCTFC = TC - TVCTC = TFC when output = 0. DRAW IT : The graph here shows the pH difference across the inner mitochondrial membrane over time in an active respiring cell. At the time indicated by the vertical arrow, a metabolic poison is added that specifically and completely inhibits all function of mitochondrial ATP synthase. Draw what you would expect to see for the rest of the graphed line, and explain graph. brittany is playing game in which 1 out of 10 players is selected to be a spy. the game claims the selection of a spy is random and all players are equally likely to be selected. brittany has played 7 games and was selected to be a spy in 5 of those games. brittany runs a simulation of 100 trials. in the simulation, she used a random number generator to select 7 digits from 0 to 9 with 0 representing being selected to be a spy and 1 through 9 representing not being selected to be a spy. the frequency of games selected to be a spy in a trial of 7 samples in the simulation is represented by this table. what is the best conclusion for brittany to make based on the data? the man at a wishes to throw two darts at the target at b so that they arrive at the same time. A pharmacy technician determines that the date of birth is incorrect in the pharmacy's records. where would the technician revise the date of birth? Design a TestScores class that has member variables to hold three test scores. The class should have a constructor, accessor, and mutator functions for the test score fields, and a member function that returns the average of the test scores. Demonstrate the application and the class by writing three separate programs. You are to provide a driver to demonstrate the functionality of an instance of this class. You many choose to use the hardwired data or have user to input the test data from the console.The program should ask the user to enter three test scores, which are stored in the TestScores object.The application program, lab9.cpp, should display the average of the scores, as reported by the TestScores object.Submit this lab in thee files: lab9.cpp, testScores.h, and testScores.cpp. How the arts benefit the economy? Statements and Reasons: Given: Quadrilateral ABCD withdiagonal AEC bisecting DAB,BE, DE, and 1 = 2.Prove: BC = DC. What point of view does Douglass announce in this paragraph?