Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Draw A Line Representing The "rise" And A Line Representing The "run" Of The Line. State The Slope Of

Answers

Answer 1
Answer is in attachment

Rise and run in red pen,
-5/4 slope

It’s a negative slope going left to right

Points are (0,1) and (4, -4)
In green pen
Draw A Line Representing The "rise" And A Line Representing The "run" Of The Line. State The Slope Of

Related Questions

(Total 3 marks)
5. Dave and Tanvir each think of a number, where Dave's number is larger,
The difference between their numbers is $. Dave's number plus twice Tanvir's number is 26
By forming simultaneous equations, determine each bloke's number.

Answers

Dave and Tanvir each think of a number, where Dave's number is larger,

The difference between their numbers is 5. Dave's number plus twice Tanvir's number is 26. By forming simultaneous equations, determine each bloke's number. The numbers are 12 and 7.

The number of Dave is 12 and the number of Tanvir is 7.

Given that

Dave and Tanvir each think of a number, where Dave's number is larger.

The difference between their numbers is 5.

Dave's number plus twice Tanvir's number is 26.

To find

By forming simultaneous equations, determine each bloke's number.

So, according to the question

Let's assume that numbers are x and y.

So, we can say that

      x - y = 5 ------------(1)  and

   x + 2y = 26 ------------(2)

We have to solve that equations by using forming simultaneous equations.

For forming simultaneous equations, we have multiply equation(1) by 2, then add eq(2) with result.

So, we will get

      2x - 2y = 10

  (+)  x + 2y = 26

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

       3x +0 = 36

            3x = 36

             x = 36/3

            x = 12

Putting the value of x in equation (1),

We will get,

        x - y = 5 ------------(1)

        12 - y = 5

            - y = 5 - 12

            - y = -7

              y = 7

The numbers are 12 and 7.

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An isosceles triangle has at least two congruent sides. The perimeter of a certain isosceles triangle is at
most 12 in. The length of each of the two congruent sides is 5 in. What are the possible lengths of the
remaining side?

Answers

x ≤ 2  but must be greater than 0 .  triangles are the possible lengths of the remaining side.

How is an isosceles triangle defined?

Any triangle with (at least) two equal sides is said to be isosceles. The remaining side in the illustration has length in addition to the two equal sides. This characteristic equates to the triangle's two angles being equal.

The length of one of the congruent side is 5

The total length of two congruent sides is 10

Perimeter at the most is 12 (meaning the maximum length of perimeter is 12)

The third side of the triangle must be 12-10 = 2 at the most

Writing this requirement as inequality we have

x ≤ 2  but must be greater than 0

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[tex]9a-ab+5b if a=2 and b =7[/tex]

Answers

Answer:

If you want it graphed the answer is

andb=7

The formula wights are

mass of  1 1  mole of  9 a − a b + 5 b i f a = 2 = 0 g

Step-by-step explanation:

i need help
sum body help

Answers

The answe is the fist question

Answer:

p = independent

t = dependent

The amount of hired truckers will depend on the amount of produce that has to be shipped from California to New York.

Hope this helps :)

Identify all the possible proper subset relationships that

occur among the following sets.

Answers

the subsets in this case are:

C ⊆ BC ⊆ AB ⊆ AHow to identify the subsets?

Remember that for two sets A and B, we say that A is a subset of B if and only if all the elements of A also are elements of B.

In this case, we have 3 sets:

A = {3n| n ∈ N}B = {6n| n ∈ N}C = {12n| n ∈ N}

We can rewrite these ones as:

A = {3n| n ∈ N} = {3, 6, 9, 12, 15, 18, ...}B = {6n| n ∈ N} = {6, 12, 18, ...}C = {12n| n ∈ N} = {12, 24, 36, ...}

Here we can see that all the elements in C also belong in B and also belong in A, and all the elements in B also belong to A, then the subsets are:

C ⊆ B

C ⊆ A

B ⊆ A

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in the month of januray, i were able to sell 1,200 desserts. In februaryc, your dessert sales increased to 1,500. What is the percent of change

Answers

The increment in the percentage of dessert sales will be 25%.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

I was able to sell 1,200 desserts throughout the month of January. Your dessert sales jumped to 1,500 in February.

Then the increment in the percentage will be given as,

P = [(1500 - 1200) / 1200] x 100

P = (300 / 1200) x 100

P = 0.25 x 100

P = 25%

The increment in the percentage of dessert sales will be 25%.

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Last week, Pablo drove 115 miles. This week, he drove k miles. Using k, write an expression for the total number of miles he drove in the two weeks. 2-Step Equation find me an answer or sum, and givve me 5 stars.

Answers

The expression for the total number of miles Pablo drove in the two weeks is (115+k) miles.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that Last week, Pablo drove 115 miles. This week, he drove k miles. Therefore, the total number of miles for which Pablo drove can be written as,

Total number of miles = Number of miles last week + Number of miles this week

                                    = 115 miles + k miles

                                    = (115 + k) miles

Hence, the expression for the total number of miles Pablo drove in the two weeks is (115+k) miles.

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the meteorologist made a forecast that a cold front was coming through and the temperature would steadily drop 24.8 degrees over the next six and one fourth hours. how much did the temperature drop each hour? 39.68 degrees 3.968 degrees 31.05 degrees 18.55 degrees

Answers

The temperature drop is B. 3.968 degrees each hour.

What is the temperature drop calculated?

The temperature drop per hour can be computed by dividing the total temperature drop by the number of hours over which the temperature dropped.

Data and Calculations:

The total steady drop in temperature = 24.8 degrees

Total number of hours for the temperature drop = 6¹/₄ hours

6¹/₄ hours = 6.25 hours

Temperature drop per hour = total drop/total hours of drop

= 2(4.8 ÷ 6¹/₄ hours)

= 3.968 degrees

Thus, the temperature drop is B. 3.968 degrees each hour.

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PLEASE HELP FAST! 35 PTS!!

Justify each step by identifying the property used.

[tex]t+5(t+1)=t+(5t+5)[/tex]
[tex]=(t+5t)+5[/tex]
[tex]=(1t+5t)+5[/tex]
[tex]=(1+5)t+5[/tex]
[tex]=(6t+5)[/tex]

Answers

The algebraic properties used in the steps are the distribution property, the associative property, the identity property, and the distribution property

How to justify each step by identifying the property used?

The first step in the equation is given as:

t + 5(t + 1) = t + (5t + 5)

The distribution property states that

a(b + c) = ab + ac

So, the property used in t + 5(t + 1) = t + (5t + 5) is the distribution property

Next, we have:

t + 5(t + 1) = (t + 5t) + 5

The associative property states that

a + (b + c) = (a + b) + c

So, the property used in t + 5(t + 1) = (t + 5t) + 5 is the associative property

Next, we have:

t + 5(t + 1) = (1t + 5t) + 5

The identity property states that

a * 1  = a

So, the property used in t + 5(t + 1) = (1t + 5t) + 5 is the identity property

Next, we have:

t + 5(t + 1) = (1 + 5)t + 5

The distribution property states that

a(b + c) = ab + ac

So, the property used in t + 5(t + 1) = (1 + 5)t + 5 is the distribution property

Lastly, we have the solution

(6t + 5)

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walter, agnes, and holly are making beaded lizards. walter has 476 green beads and 32 red beads. agnes has 104 green beads and 16 red beads. holly has 281 green beads and 80 red beads. they all share their beads so as to make the largest possible number of lizards. if a beaded lizard requires 94 green beads and 16 red beads, what is the number of green beads left over?

Answers

The number of green beads left over = 15

Walter:

Number of green beads = 476

Number of red beads = 32

Agnes:

Number of green beads = 104

Number of red beads = 16

Holly:

Number of green beads = 281

Number of red beads = 80

Total number of red beads = 32+16+80 = 128 beads

Number of red beads required for making one lizard = 16

Since 128/16 = 8 , there will be no red beads left after making 8 lizards.

Total number of green beads = 476+104+281 = 861 beads

Number of green beads required for making one lizard = 94

Now 861/94 = [tex]9\frac{15}{94}[/tex]

That is , 15 is the remainder when 861 is divided by 94

So there will be 15 green beads left after making 9 lizards.

Therefore, the number of green beads left over = 15

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Ben bowled 128 and 206 in his first two games. What must he bowl in his third game to have an average of at least 190?
Ben must bowl at least
least 190.
in his third game in order to have an average of at

Answers

Answer:

236

See the picture below for the work.

Step-by-step explanation:

The use of electricity in the US in 1902 was 6.03 x 10^9 kilowatt-hours.

The use of electricity in the US in 1950 was 4.3 x 10^11 kilowatt-hours.

How many times more was the electricity used in 1950 than 1902? Express your answer in Scientific Notation.



a. 7.131 x 10

b. 10.33 x 10^20

c. 1.73 x 10^2

d. 2.6 x 10^20

Answers

Using scientific notation , the electricity used in 1950 was 7.131 × 10¹ times more than that used in 1902 .

Values that are either too huge or too little to be conveniently expressed in decimal form can be expressed using scientific notation (typically would result in a long string of digits). It is also referred to as scientific form, standard index form, and standard form in the UK. This base ten notation is often used by scientists, mathematicians, and engineers because it can make various mathematical procedures easier.

One can represent exceedingly large or extremely small quantities using scientific notation. In scientific notation, the result of multiplying an integer between 1 and 10 by a power of 10 is written. For instance, in scientific notation, 35,000,000 can be written as 3.5× 10⁷.

Given that the use of electricity in the US in 1902 was 6.03 x 10⁹kilowatt-hours and the use of electricity in the US in 1950 was 4.3 x 10¹¹ kilowatt-hours.

These are both represented in scientific notation.

Now we have to divide to find the number of times more electricity is used.

(4.3 x 10¹¹) ÷ (6.03 x 10⁹)

= 71.31011...

≈ 7.131 × 10¹

Hence the scientific representation is given by 7.131 × 10¹ times.

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Simplify the expression 4( m - 2 ) + 3m

Answers

Answer:

7m-8

Step-by-step explanation:

distribute 4 through the parentheses

4m-8+3m

collect like terms

7m-8

Answer:

7m-8

Step-by-step explanation:

So to simplify this expression, you would need to do distributive property.

4(m-2)

(4*m) + (4*-2)

4m-8+3m

7m-8

So your simplification is 7m-8

A cartoon of 2 dozen eggs includes 3 with cracks. how many eggs without cracks can be expected in 6 dozen eggs?

Answers

If a cartoon of 2 dozen eggs includes 3 with cracks, then the number of eggs without cracks in 6 dozen eggs can be expected to be 63.

A dozen abbreviated as doz is a batch of 12. So in this situation, one dozen refers to 12 eggs. Therefore the number of eggs in 2 dozen will be equal to,

1 dozen = 12 eggs

2 dozen = 12x2= 24 eggs.

Therefore, a cartoon of 24 eggs includes 3 with cracks.

Similarly, 6 dozen is equal to,

1 dozen = 12 eggs

6 dozen = 12 x 6 = 72 eggs

We can determine the number of eggs with cracks by using an algebraic expression,

24 eggs include 3 eggs with cracks

72 eggs include: x eggs with cracks

x = 72×3 ÷ 24

x = 216 ÷  24 = 9 eggs with cracks.

Therefore the number of eggs without cracks can be calculated by the subtraction of total eggs from the eggs with cracks.

Eggs without cracks= 72 - 9 = 63 eggs.

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Helpppp I will give 60 points for this one

Answers

Answer:

Step-by-step explanation:

A. L+W= 2 in. x 2 in. = 4 in.

the length is 2 in.the width is 2 in. so you multiply 2 in.x 2 in. which =  4 in.

Below are some things to help you with perimeter and area(just type it into whatever browser you use, copy and paste)

https://youtu.be/LoaBd-sPzkU

https://th.bing.com/th/id/OIP.Q5D_8qbK_9XGQLj1s0tpbwHaJ3?w=186&h=248&c=7&r=0&o=5&dpr=1.65&pid=1.7


Think About the Process At a te-known vacation spot, taxi fares are a bargain. A 12-mile taxi ride takes 18 minutes and costs $7.20. You want to find the cost of a 33-minute taxi ride. What unit price
do you need?

Answers

We need to find out unit price per minute and the unit price is $0.4 per minute.

According to the question we have been given that

                 12 mile taxi rides takes = 18 minutes

                   cost of 12 mile taxi ride = $7.20

Thus we need to find the mile and the cost covered in 33 minutes which will be find out by unitary method.

Thus,

               18 minutes taxi ride will cover = 12 mile

               33 minutes taxi ride will cover = 12/18*33

                                                                 =  22 miles

                  cost of  12 mile taxi ride = $7.20

   then,       cost of 22 miles taxi ride = 7.20/12 * 22

                                                          = $ 13.2

Now we need to find out the unit price which is unit price per minute.

Thus unit price is = $13.2/33

                            = $ 0.4

Hence we need to find out unit price per minute and the unit price is $0.4 per minute.

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the length of a rectangle is 2 feet less than the three times length express the area of the rectangle as a function of its width, using correct function notation

Answers

The area of the rectangle as a function of its width is  a=3b-2.

[tex]s=(3b-2)b\\=3b^{2}-2b[/tex]

[tex]a=3b-2[/tex]

What is the advantages of area ?

Area is significant in contemporary mathematics. Aside from its obvious significance in geometry and calculus, area is also a fundamental characteristic of surfaces in differential geometry and is connected to the definition of determinants in linear algebra. The amount of space within a form is measured by its area.

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In a proportional relationship when x=6 we know that y=14

Answers

Answer:

Given that y varies proportionally with  x , with a constant of proportionality k=13 , find y when x=12 .

Write the equation of the proportional relationship.

The variable x varies proportionally with y with a constant of proportionality equal to 13

So,

Substitute the given x value.

Step-by-step explanation:

Tim (t), isaac (i), and hannah (h) all sell individual insurance policies. isaac sells four times as much as tim, and hannah sells three times as much as isaac. create an equation in terms of tim (t) in order to find the portion he sells.

Answers

Using proportions, the equation in terms of Tim is given by:

T(t) = 17t.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, we have that:

Isaac sells four times as much as Tim, hence I = 4t.Hannah sells three times as much as Isaac, hence H = 3I = 3 x 4t = 12t.

Hence the total amount, as a function of Isaac's amount, is given by:

T(t) = I + H + t

T(t) = 4t + 12t + t

T(t) = 17t.

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The volume of a prism is given by the formula V=lwh , where l is the length, w is the width, and h is the height of the prism.
a. Solve the formula for h .

Answers

Answer:

[tex] \sf \large \: h = \frac{v}{lw} [/tex]

Step-by-step explanation:

Let's solve for h.

v=lwh

Step 1: Flip the equation.

hlw=v

Step 2: Divide both sides by lw.

hlw/lw = v/lw

h= v/lw

image below, what are the domains and ranges?

Answers

Answer:

1. domain: -6 ≤ x ≤ 7

range: -6 ≤ y ≤ 4

2. domain: 5 > x

range: -5 < y

Step-by-step explanation:

1. domain: the farthest number left that the line reaches is -6, while the farthest right is 7. due to the line being closed as well as the points being filled in, you use the less than or equal to sign.

range: the farthest number down that the line reaches is -6, while the farthest is goes up is 4. again, since the points are filled in, you use the "or equal to" sign.

2. domain: since the only plotted point is 5, and the point is not filled in, you would say that 5 is greater than x due to the direction that the line moves

range: the lowest part of the line touches -5 and only goes up from there, therefore y is greater than -5

Help, I've been stuck on these questions for an hour!

Explanations would be helpful, please!

Answers

Answer:

A. 3005

B. 3110

C. 1016.67

Step-by-step explanation:

A. Inital means occuring at the beginning. So the month they got the account, the value is around 3005. Every tick mark on the y-axis represents 30.

B. Like I said, every tick mark represents 30, so on the x-axis, the line between 6 and 8 is 7. go up towards where the line is, and that equals 3110.

C. I really haven't learned about rate of interest yet, but I tried my best to figure it out. I found out that for every month, you get 1016.67 value of interest.

Which system of linear inequalities is represented by the graph?

y > x – 2 and y < x + 1
y < x – 2 and y > x + 1
y < x – 2 and y > x + 1
y > x – 2 and y < x +

Answers

The system of linear inequalities is represented by the graph is y > x – 2 and y < x + 1.

What is inequality?

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

The given options are,

y > x – 2 and y < x + 1

y < x – 2 and y > x + 1

y < x – 2 and y > x + 1

y > x – 2 and y < x + 1

Since,

The linear equation of a straight line is

y = mx + c,

where m is the gradient or slope, and

y = c is the value where the line cuts the y-axis.

The formula for slope of line with points (x1,y1) and (x2,y2) can be expressed as,

m = (y2 - y1) / (x2 - x1)

Now from y > x – 2 and y < x + 1

the first line passes through (0, 1) and (0, -1)

So,slope m = (0 - 1) / (0 - 1)

⇒ m = 1

Now the line intercept y-axis at (1, 1)

So, c = 1

So,equation of line is given as,

y < x + 1

the second line passes through (0, 2) and (0, -2)

So,slope m = (0 - 2) / (0 - 2)

⇒ m = 1

Now the line intercept y-axis at (-2, 0)

So, c = -2

So,equation of line is given as,

y < x - 2

So, we get y > x – 2 and y < x + 1.

Thus, the system of linear inequalities is represented by the graph is y > x – 2 and y < x + 1.

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The missing graph of the question is attached.

I need help asap!! (Fractions)

Answers

Answer:

b 2 2/9

Step-by-step explanation:

As we know

6×2/3 = {6×3+2}/3

=> 20/3

20/3 is the walk for 3 days

by unitary method

Walk of one day should be

20/3×3

20/9 = 2×2/9 miles per day

Answer:

2 2/9 miles per day

Step-by-step explanation:

If she walked 6 2/3 miles in 3 days, then she walked 1/3 of 6 2/3 miles in 1 days.

We need to find 1/3 of 6 2/3 miles.

1/3 of 6 2/3 =

= 1/3 × 6 2/3

= 1/3 × (6 + 2/3)

= 1/3 × 6 + 1/3 × 2/3

= 2 + 2/9

= 2 2/9

The distribution of random variable r has mean 10 and standard deviation 4. The distribution of random variable s has mean 7 and standard deviation 3. If r and s are independent, what are the mean and standard deviation of the distribution of r−s ?.

Answers

If [tex]X,Y[/tex] are independent, we have the properties for expectation and variance,

[tex]\Bbb E[aX + bY] = a\,\Bbb E[X] + b\,\Bbb E[Y][/tex]

[tex]\Bbb V[aX + bY] = a^2\,\Bbb V[X] + b^2\,\Bbb V[Y][/tex]

where [tex]a,b\in\Bbb R[/tex] are fixed.

Then

[tex]\Bbb E[R - S] = \Bbb E[R] - \Bbb E[S] = 10 - 7 = \boxed{3}[/tex]

and

[tex]\Bbb V[R - S] = \Bbb V[R] + (-1)^2\, \Bbb V[S] = 4^2 + 3^2 = \boxed{5}\,{}^2 = 25[/tex]

(recall that standard deviation = √(variance))

Which expression is equivalent to
3√50 x √22

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

lets solve ~

[tex]\qquad \sf  \dashrightarrow \: 3 \sqrt{50} \times \sqrt{22} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \sqrt{2 \times 5 \times 5} \times \sqrt{2 \times 11} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \sqrt{2 \times 2 \times 5 \times 5 \times 11} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \times 2 \times 5 \times \sqrt{11} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 30 \sqrt{11} [/tex]

if you draw two cards from a deck, what is the probability that you will get the ace of diamonds and a black card?

Answers

The probability that the ace of diamonds and a black card will come is 1 / 51 .

Case A :

probability of first getting an ace of diamonds = 1 / 52

probability of getting a black card given first card is ace of diamond = 26 / 51

Hence , probability that the ace of diamonds and a black card will come is  ( 1 / 52 ) * ( 26 / 51 ) = ( 1 / 102 )

Case B :

probability of first getting a black card = ( 26 / 52 )

probability of getting an ace , given first card is a black card = ( 1 / 51 )

Hence , the probability that the ace of diamonds and a black card will come is  ( 26 / 52 ) * ( 1 / 51 ) = ( 1 / 102 )

P ( A ∪ B ) = P ( A ) + P (B ) + P ( A ∩ B )

                  = ( 1 / 102 ) + ( 1 / 102 )

                = 1 / 51 .

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17+|-12--5|--6
show how you got the answer

Answers

Answer:

I'm assuming the double minus marks meant 5 and 6 were negative. Answer is 30.

Step-by-step explanation:

[tex]17+\abs(-12--5)-(-6)\\17+\abs(-12+5)-(-6)\\17+\abs(-7)-(-6)\\17+7-(-6)\\17+7--6\\24--6\\24+6\\30[/tex]

Answer:The answer would be 28

Step-by-step explanation:17-6 is 11

                                            The absolute value of -12-5 is 17

                                               17+11=28

                                            So therefore the answer would be 28.

What is the result of adding these two equations can you please answer

Answers

the answer is -2x-7y=-4

A cube-shaped planter has a volume of 729 in.³. What is the length of the planter?

Answers

Answer:

9 inches

Step-by-step explanation:

To find the volume of a cube, you could cube the side length, simplified as x³.

x³ = 729

x = 9

9 inches

Hope this helps! :)

Other Questions
Is it better to have a society where the laws are always fair but people don't always follow them, or a society where people always follow the laws but the laws aren't always fair? Why? assume that defendant is found guilty and pursues his appeal up to the united states supreme court. if the court agrees to hear his case, it will issue a writ of . When a wave encounters an obstacle or a slit that is comparable in size to its wavelength, it bends around it. This characteristic is called ________. The weak central government stipulated by the Articles of Confederation made it difficult for the new United States to do which of the following?- maintain a strong army- engage in effective international diplomacy- map western territories- regulate the economy What type of number is 14? (square root of 14) Multiple answers can be selected. A. Rational B. Irrational C.Natural D. Whole F. Integer 17 Select the correct answer. What are the solutions of this quadratic equation? 4x + 3 = 4x + 2 OA. x = 1/ 2 OB. x = -2 3 OC. x = 2 OD. x = 1+3 7. y = x + 58. y=x-79. y=x-bSolve for x: ax + b = c. Isabel will dance to the music "Cielito Lindo.A. TrueB. False Do you want to go dancing this weekend? I'd love to, but I have to babysit my little brothers on Saturday. Well, and you, that's why on practical Fridays for the school concert, we're going to sing honey, but if I can after 7:00, then I'll stop by your house at 7:30. Exact and Approximate Pi Guys this is an important question do NOT PUT A RANDOM ANSWER OR WRITE RANDOM THINGS Its annoying man shareholders group of answer choices everyone who is making a business decision. groups of people who are impacted by a company's business decisions including customers, suppliers and the government. owners of any type business. owners of shares of stock in a corporation. Which of the following types of digital evidence can be pulled from both a computer and a portable device?ImagesText historyGPS coordinatesphone call data PLSSS HELPPPPart 1: Summarizing an ArticleSelect one of the following articles from the 1921 book The Wonder Book of Knowledge to summarize. The articles are found on the last page of the lesson. Then, use the article to complete steps 3, 4, and 6 in the chart below.How Chewing Gum Came to BeHow Fireworks Came to BeHow Shoes Came to BeCentral idea sentence for section 1:Central idea sentence for section 2:Central idea sentence for section 3:Central idea sentence for section 4: bundles of myelinated axons form nervous system tissue called (click to select) . unmyelinated axons, dendrites, neuronal cell bodies, and synapses are found within nervous system tissue called (click to select) . Christy buys 3 1/4 pounds of pork roast and 5 1/2 pounds of beef roast. She pays a total of $67.50. The pork costs $0.50 per pound less than the beef. What is the combined cost of one pound of pork and one pound of beef? A guitar's steel string vibrates (see Fig. 31.5). The component of magnetic field perpendicular to the area of a pickup coil nearby is given byB=50.0+3.20 sin 1046 twhere B is in milliteslas and t is in seconds. The circular pickup coil has 30 turns and radius 2.70mm. Find the emf induced in the coil as a function of time. Do you think its important to keep traditional cultures alive? Why or why not?LA There are boys and girls in a class in the ratio 19:6 There are 104 more boys than girls. How many boys are there? one strength of the case study technique is that: it suggests directions for future study. its findings can be easily generalized. it can easily be replicated. it is less vulnerable to bias than are other methods. Which system of inequalities represents the graph?y611xy+3x42x+3y15y+11x6y+43x2x+3y>15y+11x6y+43x2x+3y