At a walk-in interview, 12% of candidates can be selected, and 28% of candidates can be put on hold for the next hiring date. if 75 candidates are interviewed, about how many are expected to be rejected?

Answers

Answer 1

45 candidates are expected to be rejected.

What is a percentage in math?

percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part. 100 percent represents the entirety and 200 percent specifies twice the given quantity.

Here, we want to calculate the number of candidates to be rejected

The number of candidates to be rejected can be calculated from;

100% - (28% + 12%) = 60%

So 60% of the 75 interviewed are to be rejected

Thus, we have

60/100 * 75

= 45

Learn more about percentage

brainly.com/question/14979505

#SPJ4


Related Questions

The graph below shows the speed of a car that is driven through a town and then on a major highway. During which of the following time intervals was the car stopped at a traffic light?

Answers

Considering the graph of the velocity of the car, it is found that the interval in which it was stopped at a traffic light was:

Between 3 and 4 minutes.

When is a car stopped at a traffic light?

When a car is stopped at a traffic light, the car is not moving, that is, it's velocity is of zero.

In this problem, the graph gives the velocity as a function of time, and it is at zero between 3 and 4 minutes, hence the interval in which it was stopped at a traffic light was:

Between 3 and 4 minutes.

More can be learned about the interpretation of the graph of a function at https://brainly.com/question/3939432

#SPJ1

How many lbs of peanuts must mike add to 9 lbs of mixed nuts containing 40% peanuts to make a mixture with 73% peanuts

Answers

The new mixture exists 56.5% peanuts.

How to estimate the total number of peanuts required for the mixture?

The first batch of 9 lb of mixed nuts possesses 40% peanuts.

This means the quantity of peanuts exists:

9 [tex]*[/tex] 40/100 = 3.6 lb

The second batch of 9 lb of mixed nuts possesses 73% peanuts.

This means the quantity of peanuts exists:

9 [tex]*[/tex] 73/100 = 6.57 lb

The total quantity of peanuts in the mix exists

3.6 lb + 6.57 lb = 10.17 lb

There exist 9 lb + 9 lb = 18 lb of mix.

Therefore, the percent of peanuts in the mix exists:

10.17 / 18 [tex]*[/tex] 100 = 56.5%

The new mixture exists 56.5% peanuts.

To learn more about the total quantity refer to:

https://brainly.com/question/18919760

#SPJ4


Find the area of this parallelogram. D(-3,4) c(3,4) a(-6,-4) b(0,-4)

Answers

If the vertices of parallelogram ABCD is A(-6,-4),B(0,-4),C(3,4),D(-3,4) ,then the area of parallelogram ABCD will be 48 square units.

Given that the vertices of parallelogram ABCD is A(-6,-4),B(0,-4)

,C(3,4),D(-3,4).

We are required to find the area of parallelogram ABCD.

Let the point of intersection of height of parallelogram from point A is point E.

When we see the graph on which the parallelogram then we will be able to know that point E has coordinates of (-3,-4).

Area of parallelogram=Base*Height

=AB*DE

DE=[tex]\sqrt{(-4-4)^{2} +(-3+3)^{2} }[/tex]

=[tex]\sqrt{64}[/tex]

=8 units

AB=[tex]\sqrt{(-4+4)^{2} +(0+6)^{2} }[/tex]

=[tex]\sqrt{36}[/tex]

=6 units

Area=6*8

=48 square units.

Hence if the vertices of parallelogram ABCD is A(-6,-4),B(0,-4),C(3,4),D(-3,4) ,then the area of parallelogram ABCD will be 48 square units.

Learn more about area at https://brainly.com/question/25965491

#SPJ1

Dario is the kicker for his high school football team. The path of the football when kicked can be
represented by the quadratic function y = -16x²
-16x2 +85x, where x is the horizontal distance (in
feet) and y is the height (in feet). How far does Dario kick the football? Express your answer as a
decimal rounded to the nearest hundredth.

Answers

Answer:

Assunming that the equation is y = -16x² +85x, I suggest Dario find a new profession.  He kicks the ball 133 feet high, but it only travels 2.7 feet downfield at that point.  It will have travelled 2*2.7 feet or 5.4 feet horizontal when it returns to ground.

Step-by-step explanation:

We can answer the question of how hiogh and far the ball travels (in feet) by either of two methods.  The first is to differentiate the equation and set it equal to 0, and the second is the graph it and look for the vertex and x intercept.

Differentiate

y = -16x² +85x

The first derivative produces an equation that gives us the slope of the line at any point x.  At the ball's top height, it stops and reverses direction, a point at which the slope is zero.

y = -16x² +85x

d(y)/d(x) = -32x + 85

0 = -32x + 85

32x = 85

x = 2.66 feet horizontal distance when the ball reaches its peak.

At x = 2.66, y is 112.9 feet high

When the ball returns, it adds amnother 2.66 feet to the horizontal distance, for a total of 5.4 feet.

Graph:

See attached plot of the function.

Horizontal distance is 2.66 feet and height is 133 feet. The x-intercept is at 5.4 feet.

After all that, the ball only travelled downfield (we hope downfield) a total of 5.4 feet.

How would you find the area or perimeter of this shape?

Answers

The perimeter of a given shape implies the sum of all its sides. While the area of a given shape is the total value of space it would cover on a 2-dimensional plane.

The perimeter of the shape is 104 cm.

The area of the shape is 640 [tex]cm^{2}[/tex].

The perimeter of a given shape implies the sum of all its length of sides., such that the value of each individual side is summed to a total value.

The area of a given shape is the total value of space it would cover on a 2-dimensional plane. The area of shapes depends on the type of shape.

In the given question, the given shape has 12 sides. Some of these sides can sum up to a given length as shown in the diagram.

So that;

perimeter = 2 + 32 + 10 + 10 + 2 + 32 + 8 + 8

                 = 104 cm

Thus, the perimeter of the shape is 104 cm

ii. The area of the shape = length x width

                                         = 32 x 20

                                         = 640 [tex]cm^{2}[/tex]

Therefore, the area of the given shape is 640 [tex]cm^{2}[/tex].

for more clarifications on the perimeter and area of a plane shape, visit: https://brainly.com/question/22909518

#SPJ 1

please help if u can! greatly appreciated
don't answer if u dont know PLEASE

Answers

a. log₈8 = 1

b. log₇6/5

c. log₉3¹

The solution to the problem are

1. log₈ 2 * 4 would produce an integer

= log₈8 = 1

The output is an integer

2. log₇6/5 would give us an irrational number

= log₇1.2

This would give us an irrational number

3. log₉3¹ would give us a rational number

= log₉9^[tex]^\frac{1}{2}[/tex] = 1/2 log⁹9

= 1/2

Read more on rational numbers here: https://brainly.com/question/12088221

#SPJ1

State the converses of the following statements. In each case, also decide whether the converse is true or false.
(1) If n is an even integer, then 2n + 1 is an odd integer.
(2) If a transversal intersects two parallel lines, then each pair of corresponding angles is equal.
(3) If each pair of opposite sides of a quadrilateral is equal, then the quadrilateral is a parallelogram.
(4) If the decimal expansion of a real number is terminating, then the number is rational.

Help!​

Answers

Answer:

See below.

Step-by-step explanation:

Converse

The converse of a statement is formed by switching the hypothesis and the conclusion.

Hypothesis:  The part after the "if".Conclusion:  The part after the "then".

Question 1

Given statement:  If n is an even integer, then 2n + 1 is an odd integer.

Hypothesis: "n is an even integer"Conclusion:  "2n + 1 is an odd integer"

Converse:  If 2n + 1 is an odd integer, then n is an even integer.

Question 2

Given statement:  If a transversal intersects two parallel lines, then each pair of corresponding angles is equal.

Hypothesis: "a transversal intersects two parallel lines"Conclusion: "each pair of corresponding angles is equal"

Converse:  If a transversal intersects two lines such that each pair of corresponding angles is equal, then the two lines are parallel to each other.

Question 3

Given statement:  If each pair of opposite sides of a quadrilateral is equal, then the quadrilateral is a parallelogram.

Hypothesis: "each pair of opposite sides of a quadrilateral is equal"Conclusion: "the quadrilateral is a parallelogram"

Converse:  If a quadrilateral is a parallelogram, then each pair of opposite sides of the quadrilateral is equal.

Question 4

Given statement:  If the decimal expansion of a real number is terminating, then the number is rational.

Hypothesis: "the decimal expansion of a real number is terminating"Conclusion: "the number is rational"

Converse:  If a real number is rational, then the decimal expansion of the number is terminating.

How to factorise completely please help this is algebra​

Answers

Answer:

Below in bold.

Step-by-step explanation:

9t^2 - u^2     (the difference of 2 squares)

= (3t - u) (3t + u).

2c - 4d - pc + 2pd

= 2(c - 2d) - p(c - 2d)

c -2d is common to both parts so the factors are:

(2 - p)(c - 2d)

Evacuate the following using suitable identities (102)^3

Answers

The value of [tex](102)^3[/tex] exists 1061208.

How to estimate the value of [tex](102)^3[/tex]?

Let us rewrite [tex](102)^3[/tex] as [tex](100+2)^3[/tex]

Now utilizing the identity [tex](a+b)^3=a^3+b^3+3ab(a+b)[/tex], we get

a = 100 and b = 2 then substitute the values of a and b then

[tex](100+2)^3=100^3+2^3+[(3\times100\times2)(100+2)][/tex]

= 1000000 + 8 + (600 × 102)

= 1000000 + 8 + 61200

= 1061208

Hence, [tex](102)^3=1061208[/tex]

Therefore, the value of [tex](102)^3[/tex] exists 1061208.

To learn more about cubic polynomial equation refer to:

https://brainly.com/question/28181089

#SPJ9

4√2/9+√2+√1/18. 1/√3-1-1/√3+1

Answers

Answer:

Exact form: 78√2 - 17√3 / 54

Decimal form: 1.49747766

Step-by-step explanation:

Rationalize and simplify the expression.

HELP!!!!QUICK!!!!!!!!!!!

Answers

Answer:

= 5 7

Step-by-step explanation:

3 – 8 = – 5 + 4 – 5 = – 1 –1 – 6 = –7

= –5 – 7

find the square roots of each of the following number

1: 81

2: 100 ​

Answers

1: 9² 2: 10²

Multiply

Multiply 9 with 9, and we get:

9 × 9 = 81

Multiply 10 with 10, and we get:

10 × 10 = 100

We get the final result as:

9²10²

Hope this helps :)

The answer to question 5 is “x(x-2y)(3x-2y)” and the answer to question 6 is “(x-y)(2-x+y)”. I know these answer cause I have the answer book but I don’t know how to get the answer . Can some one solve questions 5 and 6 with the steps to get these answers cause I have to show my work but I don’t understand how to get the answers . Also use the substitution method like I did in question 4.(urgent !!)

Answers

x(x-2y)(3x-2y) is the answer for the 5th question.(x-y)(2-x+y) is the answer for the 6th question.

What is an algebraic expression?

An expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, etc.

What is the substitution method?

The substitution method is generally used to solve the system of equations. In this method, first, solve the equation for one variable, and substitute the value of the variable in the other equation

5th question :

⇒ x(2y-x)²+2x²(x-2y)

let (x-2y) = A

⇒we can also write (2y-x)² as (x-2y)² as both have the same value

x(x-2y)²+2x²(x-2y)

x(A)²+2x²(A)

By taking xA common

⇒ xA(A+2x)

On putting the value of A=(x-2y)

⇒ x(x-2y) (x-2y+2x)

⇒x(x-2y) (3x-2y)

6th question :

2(x-y)-(y-x)²

let (x-y) = B

⇒we can also write (y-x)² as (x-y)² as both have the same value

2(x-y)-(x-y)²

2B-(B)²

By taking B common

⇒ B(2-B)

On putting the value of B=(x-y)

⇒(x-y) (2-{x-y})

⇒(x-y) (2-x+y)

Learn more about the substitution method here :

https://brainly.com/question/22340165

#SPJ1

prove that if all the altitude lengths are different in a triangle, then the triangle is scalene. (use indirect proof or contrapositive)

Answers

The term "altitude" is the same as "height of a triangle". It is perpendicular to the base. Since we can rotate the triangle to have any side be horizontal, there are effectively 3 possible bases. Hence, there are 3 heights. It all depends how you look at it.

Let h1, h2, and h3 be the three altitudes or heights.

Without loss of generality, we'll focus on the first two heights h1 and h2. Their respective bases are b1 and b2.

If we use b1 as the base, then the area is...

area = 0.5*base*height = 0.5*b1*h1

Similarly, the other base gives the area of:

area = 0.5*b2*h2

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

Since both formulas refer to the same area (because we're working with the same triangle), we can set the expressions equal to one another

0.5*b1*h1 = 0.5*b2*h2

b1*h1 = b2*h2

Let's see what happens when b1 = b2, so,

b1*h1 = b2*h2

b1*h1 = b1*h2

b1h1 - b1h2 = 0

b1(h1 - h2) = 0

b1 = 0 or h1 - h2 = 0

b1 = 0 or h1 = h2

If the bases b1 and b2 were equal, then either those bases must be 0 which isn't possible, or the altitudes must be equal. However, the initial premise is that the heights must be different from one another.

Therefore, the bases b1 and b2 can't be the same length.

We could follow the same steps and logic to conclude that if the altitudes h1 and h3 were different, then the bases b1 and b3 can't be the same. Similarly, we would conclude that b2 and b3 can't be the same. This is where the "without loss of generality" kicks in.

In other words, we only need to focus on one subcase to extend the logic to the other cases, without having to actually do every single step. That would be a bit tedious busywork.

In conclusion, we've shown that if the heights are different, then their respective bases must be different. This leads to wrapping up the proof that we have a scalene triangle.

Side note: I used an indirect proof or proof by contradiction. I assumed that a non-scalene triangle was possible and it led to a contradiction of h1 = h2.

I don't understand this question... Can anyone explain this to me please?

Answers

Answer:

First answer lol

Step-by-step explanation:

is the domain by any chance x ≥-2?

I need help with this
Example 1 Find 6 – 9. 6 – 9 = 6 + ( – 9) To subtract 9, add – 9. = – 3 Simplify

Answers

Answer:

Step-by-step explanation: This example is saying that adding a negative number is the same as subtracting a positive number. For example 2-3 = 2 + (-3).

need some help, please

Answers

Answer:

c = 15

Step-by-step explanation:

expand the left side and compare with like terms on the right side

2x(4x + 5) + 3(4x + 5) ← distribute parenthesis

= 8x² + 10x + 12x + 15 ← collect like terms

= 8x² + 22x + 15

compare to ax² + bx + c

then c = 15

Which value is a solution for the equation tan/2=-1

Answers

The value of the solution is 3π/2.

What is a trigonometric equation?

An equation involving one or more trigonometric ratios of unknown angles is called a trigonometric equation.

tan x/2 = -1

tanx/2 = tan(-π/4)

tanx=tanФ

⇒ The general equation of tanx=tanФ is

⇒ x=nπ+Ф

x/2=nπ+(-π/4)

at n=0

x/2=-π/4

x=-π/2

at n=1

x/2=π-π/4

x/2=3π/4

x=3π/2

learn more about trigonometric equations here :

https://brainly.com/question/2088730

#SPJ1

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Questions: Which value is a solution for the equation tan x/2 = -1?

A. 5pi/4

B. 7pi/4

C. 3pi/4

D. 3pi/2

Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.

Answers

Answer:

9/41

Step-by-step explanation:

Cosine represents adjacent / hypotenuse.

When A is the reference angle, AB is the adjacent side (9) and AC is the hypotenuse (41).

9/41 is already simplified.

2 Question is down below.

Answers

The height of the flagpole is 12.4 meters and the altitude of the balloon is 29.1 meters

How tall is the flagpole?

See attachment for the diagram, when redrawn

Start by calculating the length AB using the following tangent function

tan(22) = BC/AB

This gives

tan(22) = 9/AB

Make AB the subject

AB = 9/tan(22)

Evaluate the quotient

AB = 22.3

The length DB is then calculated using:

tan(9) = DB/AB

This gives

tan(9) = DB/22.3

Make DB the subject

DB = 22.3 * tan(9)

Evaluate

DB = 3.35

The height of the flagpole is then calculated as:

Height = DB + BC

This gives

Height = 3.35 + 9

Evaluate

Height = 12.35

Approximate

Height = 12.4

Hence, the height of the flagpole is 12.4 meters

How to determine the altitude of the balloon?

The diagram that illustrates the scenario is added as an attachment

Calculate the value of y using the following tangent functions

tan(57) = x/y and tan(72) = (15 + x)/y

Make y the subject in tan(57) = x/y and tan(72) = (15 + x)/y

y = x/tan(57) and y = (15 + x)/tan(72)

Substitute y = x/tan(57) in y = (15 + x)/tan(72)

x/tan(57) = (15 + x)/tan(72)

Evaluate the tangent ratios

x/1.5 = (15 + x)/3.1

Cross multiply

3.1x = 22.5 + 1.5x

Evaluate the like terms

1.6x = 22.5

Divide by 1.6

x = 14.1

The altitude of the balloon is then calculated as:

Altitude = 14.1 + 15

Altitude = 29.1

Hence, the altitude of the balloon is 29.1 meters

Read more about elevation and distance at:

https://brainly.com/question/2004882

#SPJ1

Please Solve the following #6 and #7. Answer: C, A

Answers

6) For the inverse to be a function, f(x) needs to be one to one. To accomplish this, restrict the domain to one side of the axis of symmetry

7) The y-intercept of the inverse is when x=0. This means we want to find when f(x)=0.

[tex]4(1/3)^x = 16 \\ \\ (1/3)^x= 4 \\ \\ x=\log_{1/3}(4) \approx -1.26[/tex]

Based on the graph which congruence theorems or postulates are reasons why these graphs are equal?

Answers

Triangles DEF and JKL can be proven to be congruent triangles based on:

C. ASA

E. AAS

F. LA

What is the ASA Congruence Theorem?

The ASA congruence theorem states that if two triangles that are have two pairs of corresponding congruent angles and a pair of corresponding included congruent sides, then both triangles are congruent to each other.

What is the LA Congruence Theorem?

The LA congruence theorem states that two right triangles are congruent if they have a pair of congruent legs and a pair of congruent angles that are corresponding to each other.

What is the AAS Congruence Theorem?

The AAS congruence theorem states that two triangles with two pairs of congruent angles and a pair of congruent non-included sides are congruent.

From the image given, triangles DEF and JKL can be proven to be congruent triangles using the LA, AAS, and ASA congruence theorems.

Learn more about the LA, AAS, and ASA congruence theorems on:

https://brainly.com/question/2102943

#SPJ1

The sky wheel has 42 glass enclosed gondolas. What is the measure of each central angle between gondola cars, to the nearest hundredth degree?

Answers

A sky wheel is a mechanical device that has a shape of a circle divided into a given number of equal sectors. Thus, the measure of each central angle required in the question is [tex]8.6^{o}[/tex].

A sky wheel is a mechanical device that has a shape of a circle divided into a given number of equal sectors. Thus each sector has an equal central angle. Since the sum of the internal angles of a circle is [tex]360^{o}[/tex].

From the given question, it has been stated that the sky wheel has 42 glass-enclosed gondolas. This implies that the sky wheel has been divided into 42 equal sectors.

Therefore,

the measure of each central angle = [tex]\frac{360^{o} }{n}[/tex]

where n represents the number of gondolas (42).

Thus,

the measure of each central angle between gondolas cars= [tex]\frac{360}{42}[/tex]

                                        = 8.5714

The measure of each central angle between gondolas cars is approximate [tex]8.6^{o}[/tex].

For more clarifications on a measure of angles in a circle, visit: https://brainly.com/question/27316918

#SPJ1

What is the quotient of the given values to the correct level of precision? 16.017 in. ÷ 0.370 in. 43 43.289 43.29 43.3

Answers

Answer:43.289

Step-by-step explana

NEED HELP ASAP

let h(x)=-1/3x+2. Find -4h(9)

Answers

Answer:

4

Step-by-step explanation:

h(x) = -1/3x+2 where we need to find -4h(9)

h(9): x = 9

h(x) = -1/3(9) + 2

h(x) = -3 + 2

h(x) = -1

-4h(9) is -4h(x):

-4(-1) = 4

Use the recursive formula to find the first five terms in the arithmetic sequence.

Answers

The first five terms of the sequence are 1/5, 2/5, 3/5,4/5, 1

Recursive functions

Recursive functions are functions that is used to determine the next term of a given sequence giving the common difference.

Given the recursive function shown below;

f(1) = 1/5

f(n) = f(n-1) + 1/5

For the second term;

f(2) = f(1) + 1/5

f(2) = 1/5 + 1/5

f(2) = 2/5

For the third term;

f(3) = f(2) + 1/5

f(3) = 2/5 + 1/5

f(3) = 3/5

For the fourth term;

f(4) = f(3) + 1/5

f(4) = 3/5 + 1/5

f(4) = 4/5

For the fifth term;

f(5) = f(4) + 1/5

f(5) = 4/5 + 1/5

f(5) = 5/5 = 1

Hence the first five terms of the sequence are 1/5, 2/5, 3/5,4/5, 1

learn more on recursive function here: https://brainly.com/question/11316313

Instructions: Find the volume of each figure. Round your answers to the nearest tenth, if necessary.

Answers

The volume of the cone is  84.9 km³

How to find the volume of a cone?

Volume of a cone = 1 / 3 πr²h

where

h = heightr = radius

Therefore,

radius = 3 km

height = √9.5² - 3²

height = √81.25

height = 9.01387818866

height = 9.014 km

Volume of a cone = 1 / 3 × 3.14 × 3² × 9.014

volume of the cone = 254.732197612 / 3

volume of the cone = 84.9107325372

volume of the cone = 84.9 km³

learn more on volume here: https://brainly.com/question/17075150

#SPJ1

PLEASE HELP, I REALLY NEED IT!!!

Answers

The number which is express in each of the models as given in the image attached to the task content are as follows;

a). 1.37

b). 1.37

c). 1.37.

What numbers are expressed according to the given models in the task content?

It follows from the task content that the models describe that One flat represents 1 whole, One rod represents 1 tenth and one unit represents 1 hundredth.

It therefore follows from the task content that in each of the models, the algebraic sum of flat(s), rods and units as the case may be results in the value; 1.37 as the utmost number represented by the models.

Read more on place values;

https://brainly.com/question/2041524

#SPJ1

Quick algebra 1 question for 50 points!

Only answer if you know the answer, Tysm!

Answers

Answer:

x=1

Step-by-step explanation:

2/3(9x-6) = 1/4(12-4x)

We want to solve for x

Distribute

6x-4=3-x

Add x to each side

6x-4+x = 3-x+x

7x-4 = 3

Add 4 to each side

7x-4+4 = 3+4

7x=7

Divide by 7

7x/7 = 7/7

x=1

Answer:

x = 1

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] (9x - 6) = [tex]\frac{1}{4}[/tex] (12 - 4x) ← distribute parenthesis on both sides

6x - 4 = 3 - x ( add x to both sides )

7x - 4 = 3 ( add 4 to both sides )

7x = 7 ( divide both sides by 7 )

x = 1

what is the decimal representation of 3/40

Answers

Answer:

0.075

Step-by-step explanation:

to convert a fraction to a decimal fraction

divide the numerator by the denominator, that is

[tex]\frac{3}{40}[/tex] = 3 ÷ 40 = 0.075

The decimal representation is 0.075
Other Questions
How should the magnetic field lines be drawn for the magnets shown below? Your brain is not constantly bombarded with signals telling it that you are wearing socks. This is because the touch receptors around your ankle are. During the 1940s, a large faction of texas democrats bitterly criticized the national democratic party because? The _____ hypothesis is the prediction that there will be no difference in the dependent variable across different levels of the independent variable. Charlie is watching hot air balloons. balloon a has risen at a 50 angle. balloon b has risen at a 78 angle. if the distance from balloon a to the ground is 1,000 feet, how far is balloon b from balloon a? round your answer to the nearest whole number. What committees contains four permanent committees that cannot report ligislation? The nurse palpates the anterior fontanel of a newborn and notes that it feels soft. what does this datum indicate to the nurse? nFormer U.S. President Richard Nixon resigned fromoffice before he faced impeachment charges for hisrole in the Watergate scandal, which involved a break-in and theft. Nixon's resignation showed which of thefollowing fundamental values in Americangovernment?Select one:O a. Separation of powersO b.Freedom of speechO c. Rule of lawO d. Due process Please help, type your answers in order . cual es el valor de v-15=-2 If 0.0309 mol CaCl2 is dissolved in water to make a 0.730 M solution, what is the volume of the solution What is the value of the expression shown below?8 + (7 + 1)2 + 407902124 What is used to prevent infections from being transferred or communicated from one person to another? Describe how effective employee relations techniques prevent the need for unionization. The ________ states that followers attribute heroic or extraordinary leadership abilities when they observe certain behaviors and tend to give these leaders power. Which key ideas and details from the graphic organizer best illustrate Madisons perspective?A.) The state government has stronger powers than the national government.B.) The state and national governments do not share any powers.C.) The national and state governments share some powers.D.) Both national and state governments are ruled by a strong monarch. Function and Reasoning:There are 60 calories in 5 ounces of a certain brand of soda.Part A: Represent the relationship between the number of calories and the number of ounces of soda as a line in the coordinate plane below.Part B: What is the number of calories per ounce of soda?Part C: How does the unit rate relate to the slope of the line in the graph above? Explain your answer. What is the best explanation of why consumers would decide to enter one and not another exchange relationship? find the perimeter of parallelogram PORS when side PQ=12cm and QR =7cm (with solution) What is the solution to the inequality 3x - 12| 6?0-602Ox 18Ox2 or x 6