What is 3 increased by 50? Decreased by 60? Decreased by 100?

Answers

Answer 1

Answer:   53   -10      -50

Step-by-step explanation:

50 + 3 = 53     50 - 60 = -10     50 - 100 = -50

Answer 2

[tex]3[/tex] increased by [tex]50[/tex] is equal to [tex]53[/tex].

[tex]3[/tex] decreased by [tex]60[/tex] is equal to [tex]-57[/tex].

[tex]3[/tex] decreased by [tex]100[/tex] is equal to [tex]-97[/tex].

To increase a number [tex]a[/tex] by [tex]b[/tex] means to add [tex]a[/tex] to [tex]b[/tex]. Increase is denotes by sign [tex]+[/tex]

To decrease a number [tex]a[/tex] by [tex]b[/tex] means to subtract [tex]b[/tex] from [tex]a[/tex]. Decrease is denoted by sign [tex]-[/tex]

[tex]3[/tex] increased by [tex]50[/tex] is equal to [tex]\boldsymbol{3+50}[/tex] which is equal to [tex]53[/tex].

[tex]3[/tex] decreased by [tex]60[/tex] is equal to [tex]\boldsymbol{3-60}[/tex] which is equal to [tex]-57[/tex].

[tex]3[/tex] decreased by [tex]100[/tex] is equal to [tex]\boldsymbol{3-100}[/tex] which is equal to [tex]-97[/tex].

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Related Questions

at first, kai earned a score of 80 on a quiz. He discovered that 5 points had been taken off by mistake. Kai showed the teacher, and the teacher removed the 5-point deduction.

Answers

Then Kai would have a total score of 85 points after the incorrect deductions as removed.

Answer:

then he would made an 85 bc he wouldve got 5 points added on to his quiz

Simplify :) Thank you! :3​

Answers

So this is the answer...

Hope this can help :)

The temperature of the ice for an ice hockey match is -7°C. For ice-skating, the temperature of the ice is 2 degrees warmer. What is the temperature of ice for ice-skating?

Answers

Answer:

Temperature of the ice for ice-skating = -5 °C

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Temperature of the ice for an ice hockey match = - 7 °C

Temperature for ice- skating is 2 degrees warmer.

2. What is the temperature of the ice for ice-skating?

For the correct calculation, we use this formula:

Temperature for ice-skating = Temperature of the ice for a hockey match + 2

Temperature for ice-skating = -7 + 2

Temperature of the ice for ice-skating = -5 °C

We add 2 to the temperature of the ice for a hockey match because the temperature for ice-skating is described as warmer. If it were described as colder, we should subtract.

Answer:

-5c

Step-by-step explanation:

because basically  you subtract because it is below normal

use distributive property to write in expanded form 3(6+7)=

Answers

Expanded form of 3( 6 + 7) is [tex]3 \times 10+9 \times 1[/tex]

Solution:

Need to use distributive property to write the expanded form of 3(6 + 7)

Let’s understand what is distributive property.

The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.

According to distributive property, for numbers a , b and c

[tex]a(b+c)=a \times b+b \times c[/tex]  ----- eqn 1

3(6 + 7) can be rewritten as 3 ( 6 + 4 + 3 ) = 3 ( 10 + 3 )

Now in our case a = 3 , b = 10 and  c = 3  

On substituting the values of a , b and c in equation 1 we get

[tex]3(10+3)=3 \times 10+3 \times 3=3 \times 10+9 \times 1[/tex]

So expanded form of 3( 6 + 7) is [tex]3 \times 10+9 \times 1[/tex]

how do you work out 7/6 divided by 3/11

Answers

Answer: 4 and 5/18

Step-by-step explanation: In this problem, we have 7/6 divided by 3/11. Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction.

So here, 7/6 ÷ 3/11 can be rewritten as 7/6 × 11/3.

Now we are simply multiplying fractions so we multiply across the numerators and multiply across the denominators.

So we have 7 × 11 which is 77 and 6 × 3 which is 18.

Now we have the fraction 77/18.

We can write 77/18 as a mixed number by dividing the denominator of the fraction into the numerator.

18 divides into 77 4 times with a remainder of 5.

So we can write 77/18 as 4 and 5/18.

Notice that the 18 stays which is the denominator of our original answer.

This means that 7/6 ÷ 3/11 = 4 and 5/18.

Steve and carol live 405 miles apart, they start at the same time and travel toward each other, Steve speed is 6mph greater than carols. If they meet in 2.5 hours, find their speed

Answers

Answer:

Speed of Carol is 78 mph and that of Steve is 84 mph.

Step-by-step explanation:

Let the speed of Carol is x mph and that of Steve is (x + 6) mph.

If they move towards each other with that speed, then the resultant speed will be (x + x + 6) = (2x + 6) mph

With this resultant speed, they cover 405 miles in 2.5 hours.

So, [tex]2x + 6 = \frac{405}{2.5} = 162[/tex]

⇒ 2x = 156

x = 78 mph

So, speed of Carol is 78 mph and that of Steve is (78 + 6) = 84 mph. (Answer)

PLEASE HELP ME me me me​

Answers

Answer:

Andre has the correct answer. When simplified his answer is equivalent to the original equation.

Answer:

2pg1

Step-by-step explanation:

Hehe

Solve for x.
24 =-11x-8+ 3x

Answers

Answer:

-4 = x

Explanation:

-11x +3x =-8x

24=-8x-8

+8= +8

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

32=-8x

--- -----

-8. -8

x= -4

Final answer:

To solve for x in the equation 24 =-11x-8+ 3x, combine like terms and isolate the variable by performing algebraic operations.

Explanation:

To solve for x in the equation 24 =-11x-8+ 3x, we can combine like terms:

24 = -11x + 3x - 824 = -8x - 8Add 8 to both sides to isolate the variable:24 + 8 = -8x - 8 + 832 = -8xDivide both sides by -8 to solve for x:x = 32 / -8x = -4

Therefore, the solution for x is -4.

A wagon has a mass of 100 grams and an acceleration of 2 m/s2. What is the force on this wagon?

Answers

Answer:

0.2 Newtons

Step-by-step explanation:

Newton's Second Law of Motion states that the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.

Newton's Second Law formula:

F = m * a

Where:

F: the magnitude of the net force, in N

m: the mass of the object, in Kilogram

a: the acceleration of the object, in m/s2

Answer:

The force on this wagon is 0.2 Netwons.

Step-by-step explanation:

Givens

[tex]m=100 gr[/tex]

[tex]a= 2m/s^{2}[/tex]

First, we need to transform the mass to kilograms, we know that 1 kilogram equals 1000 grams.

[tex]100gr\frac{1kg}{1000gr} =0.1 kg[/tex]

Then, by Newton's Second Law, we have

[tex]F=ma[/tex]

Replacing each variable

[tex]F=0.1kg(2m/s^{2} )\\F=0.2 N[/tex]

Therefore, the force on this wagon is 0.2 Netwons.

Which is the Best Buy?
Whole wheat weighs 16oz and costs $2.24

Pita weighs 20oz and costs $3.60

7-grain weighs 16oz and costs $2.56
Which is the Best Buy?

Answers

Answer:whole wheat

Step-by-step explanation:

Its whole wheat because when you divide the cost by the weight whole wheat is the best deal

What is the equation of the line written in the form y=mx+b that passes through G and has y-intercept of -3 enter the equation of the line in the box.

Answers

Answer:

y=-3x-3

Step-by-step explanation:

The equation of the line written in the form y=mx+b that passes through G and has y-intercept of -3 is y=-3x-3

What is the slope intercept form?

The slope-intercept form is y = m x + b, where

m is the slope

b is the y-intercept

Given that the line passes through G and has y-intercept of -3

Now Substitute it in the form of the equation

∴ y = mx - 3

From the given graph we can see that the slope is -3.

Then substitute it in the equation

y = -3x - 3

The new equation is y=-3x-3

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Suppose y varies as x. If y= -7 when x = -14, find x when y = 10.

Answers

Answer:

x = 20

Step-by-step explanation:

-7 (2) = -14 so...

10 (2) = 20


Danny's Diner sold 60 milkshakes last week. 10% of the milkshakes had whipped cream on
top. How many milkshakes with whipped cream were sold?
milkshakes

Answers

Answer:

6

Step-by-step explanation:

it's asking how much makes 10% of 60 and to find it we use this formula :

60 ÷ 100 × 10 = 6

Answer:

6 milkshakes

Step-by-step explanation:

All you need to do is multiply:

60 (0.10) = 6

If sin (2x+7)= cos(4x-7), what is the value of x

Answers

Answer: 15

Step-by-step explanation:

Recall : if sin α = cos β , then α + β are complementary , that is

α + β = 90

Since  sin (2x+7) = cos(4x-7) , then (2x+7) and (4x-7)  are complementary , that is:

2x + 7 + 4x - 7 = 90

6x = 90

x = 90/6

x = 15

The missing value x is constituting the angles of both sin and cos trigonometric ratios.

By using complementary property, the value of x for given condition is evaluated as 15.

Given that:sin(2x + 7) = cos(4x - 7)

Explanation and calculations for value of x:

The missing value x is constituting the angles of both sin and cos trigonometric ratios.

Its known by trigonometry that  when [tex]sin(\alpha) = cos(\beta)[/tex], then [tex]\alpha + \beta = 90^{\circ}[/tex]

Thus, we have:

[tex]2x + 7 + 4x - 7 = 90\\\\6x = 90\\\\x = \dfrac{90}{6}\\\\x = 15[/tex]

Thus, value of x for given condition is 15.

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Factor out the coefficient of the variable
The expression 2b+8 factored is

Answers

2(b+4) I think anyway

The factorization of the expression 2b + 8 is 2 ( b + 4 ).

Given data:

The expression is represented as 2b + 8.

To factor out the coefficient of the variable in the expression 2b + 8, determine the greatest common factor (GCF) of the terms.

The GCF of 2b and 8 is 2.

So, divide each term by 2 to factor out the coefficient:

2b + 8 = 2(b) + 2(4)

Now, rewrite the expression factored out:

2b + 8 = 2(b + 4)

Hence, the expression 2b + 8 factored is 2(b + 4).

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- y + 8x = -2 for x = 0, 1, 2

Answers

Answer:

- y + 8(0) = -2              -y + 8(1)=-2                 -y + 8(2) = -2

-y + 0 =-2                    -y + 8 - 8 = -2 -8         -y +16 - 16 = -2 -16

-y= -2                           -y = -10                        -y = -18

Step-by-step explanation:

- y + 8(0) = -2              -y + 8(1)=-2                 -y + 8(2) = -2

-y + 0 =-2                    -y + 8 - 8 = -2 -8         -y +16 - 16 = -2 -16

-y= -2                           -y = -10                        -y = -18

                                     

for x = 0, 1, 2

The corresponding y values for the given x values (0, 1, 2) into the linear equation y + 8x = -2 is equal to -2, -10, and -18, respectively, it illustrates how the y value changes with different x values in a linear equation.

The linear equation y + 8x = -2 for given values of x (0, 1, 2).

Let's solve it step-by-step for each x value:

For x = 0: Substitute x with 0 in the equation, y + 8(0) = -2, which simplifies to y = -2.

For x = 1: Substitute x with 1 in the equation, y + 8(1) = -2, resulting in y = -10.

For x = 2: Substitute x with 2 in the equation, y + 8(2) = -2, simplifying to y = -18.

This exercise demonstrates how changing the value of x affects the corresponding value of y in a linear equation.

It highlights the importance of substitution in solving equations and understanding linear relationships.

How do you solve the equation x over 4 +2 = -12

Answers

For this case we must solve the following equation:

[tex]\frac {x} {4} + 2 = -12[/tex]

Subtracting 2 from both sides of the equation we have:

[tex]\frac {x} {4} = - 12-2[/tex]

Equal signs are added and the same sign is placed.

[tex]\frac {x} {4} = - 14[/tex]

Multiplying by 4 on both sides of the equation we have:

[tex]x = -14 * 4\\x = -56[/tex]

Thus, the solution of the equation is [tex]x = -56[/tex]

Answer:

[tex]x = -56[/tex]

The sum of three times a number and -4 is at least twice the number plus 8 as an inequality

Answers

Final answer:

To translate the given statement into an inequality, it converts to 3x - 4 ≥ 2x + 8. Through simplification, we find that x must be at least 12. This showcases the application of basic algebra rules and solving inequalities.

Explanation:

The question asks to translate 'The sum of three times a number and -4 is at least twice the number plus 8' into an inequality. This can be put into mathematical terms as 3x - 4 ≥ 2x + 8, where 'x' represents the unknown number. To solve, we follow several steps:

Subtract 2x from both sides, resulting in x - 4 ≥ 8.

Add 4 to both sides to isolate the variable, giving x ≥ 12.

This inequality tells us that for the original statement to hold true, the number (x) must be 12 or greater. The process involves understanding operations with numbers, such as adding, subtracting, and applying the rules of inequality to solve for 'x'.

An animal shelter spends $4.50 per day to care for each cat and $8.50 per day to care for each dog. Violet noticed that the shelter spent $219.00 caring for cats and dogs on Thursday. Violet found a record showing that there were a total of 30 cats and dogs on Thursday. How many cats were at the shelter on Thursday?

Answers

There were 9 cats on the shelter on thursday

Solution:

Let "a" denote number of cats

Let "b" denote number of dogs

Cost per day for each cat = $ 4.50

Cost per day for each dog = $ 8.50

Given that Violet found a record showing that there were a total of 30 cats and dogs on Thursday

Thus, number of cats + number of dogs = 30

a + b = 30  ------ eqn 1

Also given that Violet noticed that the shelter spent $219.00 caring for cats and dogs on Thursday

Number of cats x cost per day for each cat + Number of dogs x cost per day for each dogs = $ 219

[tex]a \times 4.50 + b \times 8.50 = 219[/tex]

4.5a + 8.50b = 219  ----- eqn 2

Multiply first equation by 4.5

4.5a + 4.5b = 135  ---- eqn 3

Subtract eqn 2 from eqn 3

4.5a + 4.5b = 135

(-)4.5a + 8.50b = 219

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

-4b = -84

b = 21

Substitute this y value into the first equation

a + b = 30

a + 21 = 30

a = 9

Thus "a" denotes number of cats, so number of cats on thursday = 9

If the dimensions of the foundation on the blueprint are 11 inches by 13 inches, what are the actual
dimensions in feet?​

Answers

11/12 and 13/12
just put them over 12 because there are 12 inches in a foot. it’s like if 6 inches is half a foot, it would be 6/12, which equals 0.5.

Which quantity is best modeled by a linear function

Answers

See the explanation

Explanation:

Since you haven't provided any options I'll face this problem in a general way. Linear functions are given of the form:

[tex]y=mx+b[/tex]

This is called the slope-intercept form of the equation of a line. When modeling a linear function we need to take into account that we will have a constant rate of change and that when plotting our model this will follow a line. In order to model a problem as a linear function we need to follow some tips:

Identify the changing quantities in order to define the variables that stands for them.Draw a diagram or a coordinate system. It is usual to use the Cartesian coordinate system.Read the problem in detail.Set a mathematical model writing the equation that stands for the problem.Set values into the variables in order to check your model.Check your results.

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The quantity that is best modeled by a linear function must fit into y = mx + c

A model is a representation of reality. There are many different types of models such as;

Mathematical modelsComputer modelsGraphic models

A linear function is a function of the sort y =mx + c. The quantity is not shown in the question hence the question is incomplete.

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what is the area of a rectangle with a length of 3ft and a width of 16.1 ft

Answers

48.3ft square is the answer

Question 9 of 15 (1 point)
4.4 Section Exercise 15
Use the problem-solving flowchart.
The sum of four times a number and ten is equal to the difference of the number and seventeen.
Find the number. Round your answer to the nearest integer, if necessary.
As
The number is

Answers

The number is -9

Step-by-step explanation:

Let x be the number then according to given statement

[tex]4x+10 = x-17[/tex]

Subtracting 10 from both sides

[tex]4x+10-10 = x-17-10\\4x = x-27[/tex]

Subtracting x from both sides

[tex]4x-x = x-x-27\\3x = -27[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3} = \frac{-27}{3}\\ x = -9[/tex]

Verification:

[tex]4(-9)+10 = -9-17\\-36+10=-26\\-26=-26[/tex]

The number is -9

Keywords: Linear equation, variables

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Doctors have two methods of calculating maximum heart rate. With the first method, maximum heart rate, y, in beats per minute is y = 220 − x, where x is the person's age. Maximum heart rate with the second method is shown in the table.

Age, x 20 30 40 50 60
Heart rate (bpm), y 194 187 180 173 166


Which method gives the greater maximum heart rate for a 90−year-old?

The method gives the greater heart rate.

Answers

Answer:

The second method gives the greater heart rate.

Step-by-step explanation:

In the second method, the age and heart rate(bpm) are in a linear relationship.

Therefore, the maximum heart rate for a 90-year-old person in the second method is = 194 - (194 - 187)7 = 145 bpm.

{Since, the maximum heart rate in the second method decreases in an A.P. having value at the age of 20 is 194 and it decreases by 7 bpm per 10 years}

Now, in the first method, the maximum heart rate for 90-year-old person is y = 220 - 90 = 130 bpm.

Therefore, the second method gives a greater heart rate. (Answer)

Answer:

The second method (table) gives the greater heart rate.

Step-by-step explanation:

The given expression is

[tex]y=220-x[/tex]

Where [tex]x[/tex] is age.

Now, for [tex]x=90[/tex], we have

[tex]y=220-90=130[/tex]

The equation gives 130 bpm for a 90-year-old patient.

Now, if we observe the given table, we would find a pattern there. The heart rate decreases by 7 while ages decreases by 10, so

For 60 y/o we have 166 bpm.

For 70 y/o we have 159 bpm.

For 80 y/o we have 152 bpm.

For 90 y/o we have 145 bpm.

If we compare, the second method (table) gives the greater heart rate.

distance=100km, time=75 minutes, speed=?

Answers

Step-by-step explanation:

speed= distance/time

time is meant to be in seconds

1mins = 60 secs

75mins =75 x 60 = 4500

distance is meant to be in metres

1metre= 0.001km

100 km = 100 x 1000= 100000

speed =distance/time

speed = 100000/4500

speed=22.22m/s

Answer:

[tex]\large\boxed{80\dfrac{km}{h}}[/tex]

Step-by-step explanation:

[tex]speed=\dfrac{distance}{times}\\\\\text{We have:}\\\\distance=100km,\ time=75min\\\\1h=60min\to1min=\dfrac{1}{60}h\\\\time=\dfrac{75}{60}h=\dfrac{5}{4}h=1.25h\\\\\text{Substitute:}\\\\speed=\dfrac{100km}{1.25h}=80\dfrac{km}{h}[/tex]

Drag steps in the given order to evaluate this expression.

(−3)(2)−7(−3)−10

−37
17
5
−6−21−10
−6−−21−10
−17
Expression

(−3)(2)−7(−3)−10
Perform Multiplication

Simplify
(sort the −37
17
5
−6−21−10
−6−−21−10
−17
into the groups of
Expression

Perform Multiplication

Simplify

Answers

Answer:

5

Step-by-step explanation:

(-3)(2)-7(-3)-10

-6+21-10

15-10

5

Two planes just took off from Salt Lake City, UT. The first plane is traveling 3 times as fast as the second plane. After traveling in the same direction for 7.5 hours, they are 1575 miles apart. What is the average speed of each plane? (Hint: Since they are traveling in the same direction, the distance between them will be the difference of their distances.)

Answers

Answer:

The average speed of the first plane is 315 mph and that of the second plane is 105 mph.

Step-by-step explanation:

Let us assume that the first plane has speed x mph and that of the second plane is y mph.

So, as per given condition x = 3y ......... (1)

Now, given that after traveling in the same direction for 7.5 hours, they are 1575 miles apart.

So, we write the equation as  

7.5x - 7.5y = 1575

x - y = 210 ........ (2)

Now, solving equation (1) and (2) we get, 3y - y = 210

⇒ 2y = 210

y = 105 mph

So, from equation (1) we get, x = 3y = 315 mph.

So, the average speed of the first plane is 315 mph and that of the second plane is 105 mph. (Answer)

solve for n 2/3(1+n) = -1/2n

Answers

-4/7 (decimal form (.571))

Answer:

-1/2 = n

Step-by-step explanation:

2/3(1+n) = -1/2n

2/3 + 2/3n = -1/2n

2/3 + 2/3n - 2/3n = -1/2n

2/3 = -1/2n -2/3n

2/3 = -.5n -.66n

2/3 = -1.16n

2/3/-1.16 = n

.66 - 1.16 =n

-0.5=n

- 1/2 = n

i need help solving this problem. someone help pls :)
20y - 60 = 5x​

Answers

Answer:

Step-by-step explanation:

20y - 60 = 5x

add 60 to both sides:

20y = 5x + 60

divide through by 20:

y = (1/4)x + 3

slope = 1/4

y-intercept = (0, 3)

May someone please help me with the equation? I would be so very thankful.

Answers

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \cfrac{4(3x^2y^4)^3}{(2x^3y^5)^4}\implies \cfrac{4(3^3x^{2\cdot 3}y^{4\cdot 3})}{(2^4x^{3\cdot 4}y^{5\cdot 4})}\implies \cfrac{4(27)x^6y^{12}}{16x^{12}y^{20}}\implies \cfrac{108x^6y^{12}}{16x^{12}y^{20}} \\\\\\ \cfrac{108}{16x^{12}x^{-6}y^{20}y^{-12}}\implies \cfrac{108}{16x^{12-6}y^{20-12}}\implies \cfrac{27}{4x^6 y^8}[/tex]

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Reconciling items included a bookkeeper error of $130 (a $500 check recorded as $630), two outstanding checks totaling $830, a service charge of $25, a deposit in transit of $250, and interest revenue of $30. What is the adjusted book balance? A. $5,180 B, $4,020 C. $4,465 D. $4,735 ________ delusions involve the (false) belief that other people or agencies are plotting to harm the person. A) hallucination B) paranoid C) somatic D) grandiose bob bought bill an item that cost 193. bill gave him 200. bob then took 100 out of the 200 to buy bill an item for 93. how much does bill owe Bob totally? 24. Suppose you throw two fair number cubes. What is the probability that the sum of the results of the throw is 4,5, or 6? Show your work and explain. Calculating Economic Value Added East Mullett Manufacturing earned operating income last year as shown in the following income statement: Sales $630,000 Cost of goods sold 380,000 Gross margin $250,000 Selling and administrative expense 174,400 Operating income $ 75,600 Less: Income taxes (@ 40%) 30,240 Net income $ 45,360 Total capital employed equaled $381,000. East Mullett's actual cost of capital is 8 percent. Required: Calculate the EVA for East Mullett Manufacturing. $ This odor is created when at least 30 odorants of equal intensity that span olfactory physiochemical and psychological (perceptual) space are mixed. The resultant odor percept is the same as every other mixture of 30 odorants meeting the span and equivalent intensity criteria, even though the various mixtures do not share any common odorants.a. Olfactory whiteb. Olfactory redc. Olfactory blackd. White noise odor A pool holds 33500 gallons of water. The pool is filled at a constant rate of 485 gallons every 6.5 minutes. Select whether each statement is true or false.________ The unit rate for filling the pool is 74 gallons per minute________ It will take 4 hours and 15 minutes to fill the pool to 85% of its capacity.________ The difference between the pool being 64% full and 48% full is 3600 gallons.________ A slow leak has left the pool with only 19800 gallons, a 12% decrease.________ The pool can be completely filled in less than 5 hours. Recently, some executives for highway construction companies agreed to stop competing with each other on price and to meet every three months to decide their price for the next quarter. In this situation:A. the Sherman Act has been violated.B. the Robinson-Patman Act has been violated by price discrimination.C. the executives are exercising their right to free trade.D. the unfair trade practice acts have been violated.E. as long as prices don't increasethe executives have done nothing wrong. A call option with an exercise price of $30 and four months to expiration has a price of $4.10. The stock is currently priced at $29.80, and the risk-free rate is 4 percent per year, compounded continuously. What is the price of a put option with the same exercise price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) In the context of the contingency decision-making framework, _____ refers to the agreement among managers about the nature of an issue or opportunity and about which goals and outcomes to pursue. he following information relates to a companys defined benefit pension plan at December 31:Accumulated benefit obligation: $1,035,000Projected benefit obligation: 1,250,000Prior service cost: 113,000Net gain on plan assets: 167,000Plan assets (fair value): 737,000What amount should the company report as its pension liability at December 31? 1. Describe how nighttime carbon dioxide concentrations near the forest should compare with the middayconcentrations near the forest. Explain your answer using two biological processes. You are the triage officer for a detention camp which has just taken a mortar attack. There are a large number of wounded (Coalition Forces and EPWs) and the supply of painkilling drugs is getting low. What should you do? Five times the difference of twice a number and seven is negative twenty-five. Find the number. A mutation has occurred in the sequence in the promoter region of a bacterial gene, such that the sequence TTGACA has been lost. What process will be most directly affected by this mutation?RNA polymerase II bindingSplicingTranscription initiationTranslation initiation At one point in time, the price of gold was about $1400 per ounce, while that of silver was about $20 an ounce. The "ounce" in this case is the troy ounce, which is equal to 31.1035 g. (The more familiar avoirdupois ounce is equal to 28.35 g.) The density of gold is 19.3 g/cm3 and that of silver is 10.5 g/cm3.A. If you found a spherical gold nugget worth $5 million, what would be its diameter?ANSWER: ______________ cmB. How much would a silver nugget of that size be worth?ANSWER: $ ____________