ignoring all other issues, how many pounds of grain supplement should farmer ben feed his cows if the price of milk is $0.20 per pound and the price of grain supplement is $0.70 per pound?

Answer:

y - 1 = - 3(x + 8)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 2 ← is in slope- intercept form

with slope m = - 3

• Parallel lines have equal slopes

the equation ofa line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - 3 and (a, b ) = (- 8, 1 ) , then

y - 1 = - 3( x - (- 8) ) , that is

y - 1 = - 3(x + 8)

The constant of proportionality of the given function of the graph would be 3 / 4.

The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.

Let the equation below which is shown in the graph:

y = kx ....(i)

where k is the constant of proportionality.

As per the given graph, take a point x = 4, and y = 3

Substitute the values x = 4, and y = 3 in the equation (i)

3 = k × (4)

4k = 3

k = 3 / 4

Thus, the constant of proportionality of the given function of the graph would be 3 / 4.

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The number which is at a distance of 23 unit from 12 on a number line is 11.

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.

This ultimately implies that, a number line can be used to determine the difference between two numbers such as 23 and 12. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.

Now, we can determine the distance as follows:

Distance = 23 - 12

Distance = 11.

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[tex]7a = b[/tex]

THIS SIMPLY MEANS THAT TO ATTAIN b we have to multiply a by 7.

Answer:

Hope the picture will help you

The value of a that makes ∠2 and ∠3 perpendicular is 20.

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

From the image, HL is perpendicular to HJ, hence:

m∠2 + m∠3 = 90° (Definition of perpendicular)

Substituting gives:

(a + 15) + (a + 35) = 90

2a + 50 = 90

a = 20

value of a = 20

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After solving an equation as per given relation of Lan, Lisa and Jim height ,now Lan's height is 174centimeters.

As given ,

Let h be Lan's height today in centimeters.

As per the relation between  Lan, Lisa and Jim height we have,

Lan=h cm

Lisa=h + 4

Jim=h -8

After 4 months, every month their heights increase by 2 cm

Lan=h + 8

Lisa=h + 4 +8

Jim=h -8 +8

Required equation for given condition:

Lan + Jim=170 +Lisa

⇒h +8 + h -8 + 8=170 + h + 4+8

⇒2h+8=h+182

⇒h=174cm

Therefore, after solving an equation as per given relation of Lan, Lisa and Jim height ,now Lan's height is 174centimeters.

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The absolute function f(x) = 4x+5 as a piecewise-defined function is:

f(x) = { -4x-5   ,   x<-5/4

           4x+5   ,   x ≥-5/4 }

Given, the absolute function  f(x) = 4x+5

The fundamental tenet of piecewise linear regression is that we should construct the regression function in "pieces" if the data exhibit various linear trends over various parts of the data. The components may or may not be joined.

when  4x+5 < 0

4x < -5

x < -5/4

f(x) = -(4x+5) = -4x-5

when 4x+5 ≥ 0

4x ≥ -5

x ≥ -5/4

f(x) = 4x+5

so f(x) =  { -4x-5   ,   x<-5/4

                4x+5   ,   x ≥-5/4 }

since, I x I =  { -x   ,   x<0

                        x    ,   x ≥0}

Therefore, we get the required piecewise-defined function with linear parts.

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Height was the tennis ball dropped if it bounces 42 inches is 0.7 inch.

What do you understand by direct proportionality?

If two quantities are directly proportional, it means that when one quantity increases at a certain rate, the other quantity also increases at the same rate up to a constant value. It is represented by the proportional symbol ∝.

Let the height of the ball bounces be h

The height of the ball drobbed from be y

It is given that the height that a ball bounces varies directly as the height from which it was dropped.

⇒ h ∝ y

⇒ h = ky where k is the constant of proportionality.

It is given that a tennis ball dropped from 14 inches.

⇒ y = 14 inches

Tennis ball bounces back to 8.4 inches.

⇒ h = 8.4 inches

⇒ 8.4 = k × 14

⇒ k = 8.4/14 = 0.6

Now, tennis ball dropped from 42 inches

y = 42

⇒ h = 42 × 0.6 = 0.7

Therefore, height was the tennis ball dropped if it bounces

42 inches is 0.7 inch.

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Step-by-step explanation:

I hope this will be helpful for you.

5 mph for 2 hours and 4 mph for 3 hours

4 mph for 2.25 hours and 6 mph for 1.5 hours

gives possible rates and times for two of his jogs

1.Let's determine the relationship between the rate of jogging and the time f jog in each scenario.

First Rate = [tex]\frac{6}{1.5} =4[/tex]  time = 1.5 hours

Second Rate =  [tex]\frac{5}{1.25} = 4[/tex] time = 1.5 hours

As a result, in this instance, the duration of his runs does not appear to be inversely related to their intensity.

2.First Rate = [tex]\frac{5}{2} =2.25[/tex]  time = 2 hours

Second Rate =  [tex]\frac{4}{3} =1.33[/tex] time = 3 hours

Therefore, in this instance, the duration of his runs appears to be inversely related to his pace.

3.First Rate = [tex]\frac{4}{2.25}[/tex]=1.77  time = 2.25 hours

Second Rate =  [tex]\frac{6.5}{1.5} =4[/tex] time = 1.5 hours

Therefore, in this instance, it appears that the duration of his runs is inversely related to his speed.

4.First Rate = [tex]\frac{4.5}{3}[/tex]=1.5  time = 3 hours

Second Rate =[tex]\frac{6}{4} =1.5[/tex]   time = 4 hours

Therefore, in this instance, it does not appear that the length of time he runs is inversely related to the speed at which he runs.

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We need to know about trigonometry to solve this problem. The measure of angle G is 27.9°

Trigonometry is related to functions of angles and their applications. There are six main functions of an angle, sine, cosine, secant,cosecant,tangent and cotangent. Here in this question we know the measure of all the sides of the triangle, and the angle T is 90°. We will be using the function tangent(tan) to solve for angle G. The base of the triangle is RG and the height is TR.

RG=8  TR=15

tan G=base/height=RG/TR=8/15=0.533

G=[tex]tan^{-1}[/tex] 0.53=27.9°

Therefore the measure of the angle G is 27.9°.

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Triangle STU have vertices S'(6,1); T'(3,0) and U'(4,-3) after reflection across y = -x.

The triangles is reflected across the line y = -x.

If any point A(a,b) is reflected across y = -x then the coordinates of x and y axes will be interchanged and the coordinates will become negative,

So the reflected point A' will be (-a,-b).

So, after reflection,

S(-1,-6) will become S'(6,1) after reflection across y = -x.

T(0,-3) will become T'(3,0) after reflection across y = -x.

U(3,-4) will become U'(4,-3) after reflection across y = -x.

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Answer:

-15by

Step-by-step explanation:

distribute

rearrange terms

Function transformation: Function transformation is the process of changing one function into another.

The f(x) graph will be shifted 1 unit down in the vertical direction.

Function transformation: Function transformation is the process of changing one function into another.

changing a function's form from one to another

Transformational rule

The function will move 'a' units higher when f(x)->f(x)+a is used.

f(x)-> f(x)-a The action is going to be 'a' units down.

The function will be relocated 'a' units left if f(x)->f(x+a).

The function will be relocated 'a' units right if f(x)->f(x-a).

The fundamental job is [tex]f(x)=\frac{1}{x}[/tex]

F(x)-1 is used in place of f(x).

It indicates that the graph of f(x) will shift down by one unit.

A unit down will be added to the vertical translation of the f(x) graph.

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Answer:

76 ounces    as  (  1 lb   = 16 oz )  4 3/4 * 16 = 76

Step-by-step explanation:  

4 3/4 pounds = 76 ounces       or   4 3/4 pounds = 2.15456376 kilograms  

The value of m which is an additive inverse of 58 is -58.

Additive inverse is what you add to a number to make the sum zero. When two numbers are added together to get 0, then we say both the numbers are additive inverses of each other.

Since m is the additive inverse of 58, hence:

m + 58 = 0m = -58

The additive inverse of 58 is -58.

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Answer:

I don't see a table :/

Step-by-step explanation:

if a humming bird flaps his/her wings 500 times in 10 seconds you just have to do 500 x 6

humming birds flap their wings about 3000 times per minute

answer: 3,000

"Don't have a good day, have a great day"

-Guy

Using a linear function, it is found that:

a. The table is completed as follows: Month 2, Stamps 144; Month 3, Stamps 156; Month 4, Stamps 168; Month 5, Stamps 180.

b. She will have 264 stamps after one year.

c. The function is given by: t(n) = 120 + 12n.

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

For the function in this problem, we have that:

Hence the function is given by:

t(n) = 120 + 12n.

To complete the table, we find the numeric values are follows:

One year from now is 12 months, hence:

t(12) = 120 + 12(12) = 264.

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The equation that describes the graphed function [tex]f(x) = \frac{1}{x}[/tex]  is option A:[tex]y = (x + 2) - 1.[/tex] This is shown in the graph given below, and transformation is translation.

To mathematically derive this equation, start with the original function [tex]f(x) = \frac{1}{x}[/tex].

The given function [tex]f(x) = \frac{1}{x}[/tex] has a reciprocal relationship between x and y.

To perform a horizontal translation 2 units left, substitute (x + 2) for x. This gives:[tex]f(x + 2) = \frac{1}{x + 2}[/tex].

Next, to achieve a vertical translation 1 unit down, subtract 1 from the function.

Thus, [tex]f(x + 2) - 1 = \frac{1}{x + 2}- 1[/tex].

Simplifying further, combine the terms gives:

[tex]y = (x + 2) - 1.[/tex]

This equation represents the original function :

[tex]f(x) = \frac{1}{x}[/tex]

After a horizontal translation of 2 units left and a vertical translation of 1 unit down.

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Answer:

x+7

Step-by-step explanation:

to shift the function up, you need to add -4x by 4

and to shift the function to the left you need to add 1 by 6

Answer:

118.558 cm^2

Step-by-step explanation:

Ok, a rectangular cube and a Cylinder.

Let's start with the rectangular cube.

SA= 2(lw + lh + wh)

total surface area = 94 cm^2

Now the Surface Area of the of the Cone.

A=2πrh+2πr^2

A=2πrh+2πr^2=2·π·1·5+2·π·1^2≈37.69911 cm^2

Since the cone is standing on top of the rectangular cube, we need to deduct just the area of the circle.

A=πr2=π·12≈3.14159 cm^2

So, 84 cm^2 + 37.69911 cm^2 - 3.14159 cm^2

Sum the quantities:

84 cm^2 + 37.6991 cm^2 - 3.14159 cm^2

Sum the numbers 84 + 37.7 - 3.142 = 118.558:

Answer: 118.558 cm^2

Based on the amount earned by Justin per hour, and the overtime work rate, Justin's gross pay for the week is $764.50

First, find the amount that Justin earns from Rite Aid Pharmacy for his regular work:

= Number of hours in regular week x Pay per week

= 40 x 13.9

= $556

The overtime hours was:

= 50 - 40

= 10 hours

The overtime pay is:

= 10 x 13.9 x 1.5

= $208.50

The total gross pay for the week is:
= 556 + 208.50

= $764.50

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Answer:

see explanation

Step-by-step explanation:

starting with the polygon on the left at vertex Z ( marked with x ) and going clockwise.

Similarly polygon on right starting with vertex D ( marked with x ) and going clockwise.

ZLXY ≅ DABC

the scale factor of ZLXY → DABC

is the ratio of corresponding sides

scale factor = [tex]\frac{DA}{ZL}[/tex] = [tex]\frac{9}{7.2}[/tex] = [tex]\frac{5}{4}[/tex]

The statement that cannot be assumed based on the figure is that

<DBC is vertical to <FDE. This makes option B the answer.

The given data consist of various intersections and line types however the line type used to vertical angles are not among.

The line type responsible for vertical angles or used for vertical angle theorem is the parallel lines and a transversal line. This two lines are used together to prove or get angles that are vertical

We can therefore conclude that <DBC is vertical to <FDE is the the correct option

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The two situations which would result in a solution of 0 include the following:

B. On Friday morning, a student earns $35 mowing lawns. On Friday night, the student spends the $35 while out with friends. How much of the money that the student earns from mowing lawns is left?

D. A student owes a friend $7.50. If the student pays the friend $7.50, how much does the student owe the friend?

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

For this exercise, the expression which represents the first situation is given by:

Amount of money left = $35 - $35

Amount of money left = 0

For this exercise, the expression which represents the second situation is given by:

Amount of money owed = $7.50 - $7.50

Amount of money owed = 0.

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The average speed of the student for his entire walk is equal to 1.5 m/s. Therefore, option (b) is correct.

What is the average speed?

The average speed of a body is calculated as the total distance traveled in a fixed interval of time. The average speed can be determined by dividing the total distance traveled by a body by the total time.

The average velocity is a single value if the object moves uniformly. Speed is a scalar quantity, it has no specified direction. The average speed has the S.I. unit the same as velocity i.e. m/s.

Given the distance covered by a student in first 80 sec = 100m

After stooping for 30sec again cover a distance of 200m in 90sec.

The total distance traveled by the student = 100 + 200 = 300m

The time taken by student to cover distance =  80 + 30 +90 = 200 sec

The average speed of the student = total distance/ total time taken

                                                          = 300/200 = 1.5 m/s

Therefore, the average speed of the student is equal to 1.5m/s.

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When Ken and Hamid race around a track, Ken completes a lap in 80 seconds while Hamid completes a lap in 60 seconds. ken will run 3 laps where as Hamid will run 4 laps.

Given that,

When Ken and Hamid race around a track, Ken completes a lap in 80 seconds while Hamid completes a lap in 60 seconds.

We have to find if they had faced off on the starting line, how many laps would they have won.

We have to find the LCM of the 80 and 60.

The prefix "LCM" stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.

LCM of 80 and 60 is 240

240=80×3

ken will complete 3 laps.

240=60×4

Hamid will complete 4 laps.

Therefore, ken will complete 3 laps where as Hamid will complete 4 laps.

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