Determine which line is steeper. Explain your answer. What does it represent in this situation?

3n - 4

substitute t = 5 - n into f(t)

f(5 - n) = 11- 3(5 - n) = 11- 15 + 3n = 3n - 4

[tex]h(t)=11-3(5-n)[/tex]                 Substitute [tex]5-n[/tex] to [tex]t[/tex] in this equation

[tex]h(t)=11-15+3n[/tex]                 Use Distributive property

[tex]h(t)=3n-4[/tex]                        Combine Like Terms

*(Answer)*= [tex]h(t)=3n-4[/tex]

Answer:

[tex]y\geq \frac{1}{2}x[/tex]

Step-by-step explanation:

To find the inequality represent by the graph, we first must find the linear equation that represents that line.

So, in first place, we find the slope of the line, using two point (0,0) and (2,1):

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }=\frac{1-0}{2-0}=\frac{1}{2}[/tex]

Now, using one point, the slope and the slope-point formula, we find the linear expression

[tex]y-y_{1}=m(x-x_{1})\\y-0=\frac{1}{2}(x-0)\\ y=\frac{1}{2}x[/tex]

Then, with the linear expression, we just need to take a test point form the shaded area and evaluate the expression, the point is gonna be (0,1):

[tex]y=\frac{1}{2}x\\1=\frac{1}{2}(0)\\ 1=0[/tex]

We know that 1 is more than zero, this means that the right inequality sign is [tex]\geq[/tex], due to the relation of the numbers, and because line is solid.

Therefore, the inequality is

[tex]y\geq \frac{1}{2}x[/tex]

-26 is the change because -71 - -25 is -26

I do these types of problems a little different then some may.  I turn this into a positive and see how far it is like that.  

When thinking of it like that, how many numbers are between 45 and 71?

Just subtract 71-45= 26.

So know we know that there are 26 numbers in between 45 and 71.

If you go back to the original problem, you will see to get from -45 to -71, you have to -26.

So the temperature has to drop 26 degrees making your change in temperature -26 degrees.

Answer:

voltage drop across 40Ω inductor is 41.2V

Step-by-step explanation:

We are given that a series RL circuit contains two resistors 27Ω, 47Ω and two inductors which have reactances 50Ω,40Ω.

Hence total resistance in the circuit =27+47=74Ω

Total reactance=50+40=90Ω

Since all of these elements are in series, same current goes through all the elements.

And that current I=[tex]\frac{E_{T}} {Z}[/tex]

Given Applied voltage,[tex]E_{T}=120V[/tex]

Hence [tex]I=\frac{120}{\sqrt{74^{2}+90^{2}}} =\frac{120}{\sqrt{13576}} =1.03A[/tex]

Therefore voltage drop on the inductor that has 40Ω of reactance=40X1.03

                                                                           =41.196≈41.2V

Final answer:

The voltage drop on the inductor in a series RL circuit with a 40 Ω reactance is calculated using the total impedance and Ohm's Law to find the circuit current, which is then multiplied by the inductor's reactance. The calculated voltage drop is 41.2 V.

Explanation:

The student is dealing with an RL circuit and needs to calculate the voltage drop on an inductor with a given reactance in that circuit. In an RL circuit, the total impedance (Z) is found by combining the resistive (R) and inductive reactance (XL) components together, where R is the sum of individual resistances and XL is the sum of individual reactances. Since the components are in series, the total resistance would be R = 27 Ω + 47 Ω = 74 Ω and the total reactance would be

XL = 50 Ω + 40 Ω = 90 Ω.

The total impedance (Z) can be calculated using the Pythagorean theorem for the right triangle formed by R and XL:

=  [tex]\sqrt{(74^2 + 90^2)[/tex]

= √(5476 + 8100)

= √(13576) ≈ 116.52 Ω.

With the total impedance known, we can find the current in the circuit (I) using Ohm's Law:

I = V/Z

= 120 V / 116.52 Ω

≈ 1.03 A.

The voltage drop across an individual inductor can be found by ∗ V = I * XL, where XL is the inductive reactance of the inductor in question. Therefore, the voltage drop for the inductor with a 40 Ω reactance is:

V = 1.03 A * 40 Ω

= 41.2 V.

This is the voltage drop on the inductor with a 40 Ω reactance.

The answer would be 12.5 ft

This is because you know that if you cast a shadow of 8 feet and you are 5 feet then a lamp post that is 12.5 feet will have a 20 foot shadow.

To solve for the height of the lamppost, we can use the equation h = (5/8) * 20, derived from the ratio of height to shadow length across similar triangles.

To determine the height of the lamppost using the shadow lengths, we apply the concept of similar triangles. Since the student's height and shadow form a right-angled triangle, and the lamppost and its shadow do as well, the two triangles are similar by the angle-angle similarity postulate. Thus, the ratio of the height to the shadow length is constant for similar triangles created by an object and its shadow under the same lighting conditions.

The relationship for the student can be expressed as student's height / student's shadow length, which is equal to 5 feet / 8 feet. For the lamppost, the relationship can be described as height of lamppost (h) / lamppost's shadow length, which is h / 20 feet. Therefore, the proportion can be set up as:

5/8 = h/20

Multiplying both sides of the proportion by 20 gives us the equation to solve for h, the height of the lamppost:

h = (5/8) * 20

1,541 is the answer

They are always on a coplanar

Answer:

Perpendicular lines are always coplanar.

Step-by-step explanation:

Coplanar lines are lines drawn on the same plane. So whenever you have

perpendicular lines (i.e lines at right angle to each other), they are always coplanar. This is because they are drawn on the same plane.

The first quartile is the middle of the first half.

Which would be the number 12 I think

[tex](5x^2-3x+5)-(3x^2-4x-7)\\\\=5x^2-3x+5-3x^2+4x+7\\\\=(5x^2-3x^2)+(-3x+4x)+(5+7)\\\\=2x^2+x+12\to1.[/tex]

[tex]11(-3+5x^2)=(11)(-3)+(11)(5x^2)=-33+55x^2=55x^2-33\to4.[/tex]

w/7 + 2 = 1

Subtract 2 from both sides.

w/7 = -1

Multiply both sides by 7.

w = -7

The value of w is equal to -7

Anywhere there is a point, is part of the domain.  So we see a point at x = -2. x = 0, x = 1, x= 2, x = 3, and x = 4.

So the domain would be

{-2, 0, 1, 2, 3, 4}

Answer choice 1.

Answer: The width can be measured in not a characteristic of a plane

Step-by-step explanation: Think about it it doesn't make sense becuase it doesn't have measurable width

If 39 is 3/5 of all the people then you can divide it by 3 (=13) and multiply is by 5 (= 65)

Answer: There are 65 people in the club.

Answer: There are 65 people in the club.

Answer: 10.8 yards

Step-by-step explanation:

Given: Total fabric Jennifer has = 84.5 yards

Total identical curtains she made = 6

Remaining fabric = 19.7 yards

Thus, fabric used fro 6 curtains = [tex]84.5-19.7=64.8\ yards[/tex]

Now, fabric she use for each curtain = [tex]\frac{64.8}{6}[/tex] yards

Thus, fabric she use for each curtain= 10.8  yards

Hence, Jennifer use 10.8 yards fabric per curtain.

Answer:

10.8 yards

Step-by-step explanation:

84.5 - 19.7 = 64.8

64.8 / 6 = 10.8 yards

Jennifer can use 10.8 yards per curtain.

Answer,

100,000,000 > 334,605,925

But, 100,000,000 is smaller that 334,605,952

So, It would be "100,000,000 < 334,605,925"

-3(x+2)+5x=-9

-3(x)-3(2)+5x=9

-3x-6+5x=9

2x-6=9

2x=9+6

2x= 15

2x/2=15/2

X= 7.5

[tex]-3(x+2)+5x=-9[/tex]

Distribute the -3

[tex]-3x-6+5x=-9[/tex]

Combine like terms

[tex]2x-6=-9[/tex]

Add 6 on both sides

[tex]2x=-3[/tex]

Divide by 2 on both sides

[tex]x=-1.5[/tex]

x is equal to -1.5

Simplify. Combine like terms:

In the first question, combine terms with the same variables:

2a - 4b + 6b - 3a = 2a - 3a - 4b + 6b = -a + 2b

-a + 2b is your answer

In the second question, do the same:

3a + 5b - 6a + 3b = 3a - 6a + 5b + 3b = -3a + 8b

-3a + 8b is your answer

hope this helps

first

-a + 2b is your answer

In the second one you do it the same wayy

3a + 5b - 6a + 3b = 3a - 6a + 5b + 3b = -3a + 8b

-3a + 8b is your answer

an there is your twoo answers

i think its A. hours

Answer:

Select the most appropriate unit for the measure of time that the graph represents.

A.  hours

B.  days

C.  weeks

D.  years

Step-by-step explanation:

Since it is not a straight line, but a curved one, because it does not have a uniform rectilinear movement, the most appropriate unit of time would be for hours.

The answer is: A. hours.

It is safe to assume that we are solving for b.

To answer this is to isolate b.

8b = -27.2

b = -3.4

Hello!

-5=c/7

Switch the sides!

Multiply both sides by 7.

7c/7=7(-5)

c=-35

Hopefully this makes sense! :-)

1.V= 60cm^2 times 5cm

V=300cm^3

2.20in^2 times 12in

V=240in^3

he does not need more info because you can take the area of a layer and multiply it by the number of layers

hope this helps :)

Answer:

The correct option is:  A.  X= -4

Step-by-step explanation:

The equation of the given line is:  [tex]x=7[/tex]

As the given line is a vertical line parallel to y-axis, that means the slope of the line is 'undefined' or [tex]\frac{k}{0}[/tex], where [tex]k[/tex] is any real number.

Now, the slope of the line which is parallel to the given line will be also [tex]\frac{k}{0}[/tex], as the slopes of parallel lines are always equal.

The parallel line is passing through the point (-4, 1). So, using point-slope form.......

[tex]y-y_{1}= m(x-x_{1})\\ \\ y-1=\frac{k}{0}(x-(-4))\\ \\k(x+4)=0\\ \\ x+4=0\\ \\ x=-4[/tex]

Thus, the equation of the parallel line will be:  [tex]x=-4[/tex]

There are 61 people to begin with.

hope it helps.

the answer's 41 degrees. If the total sum of the angles in a triangle is 180, and a right angle is 90, and the other angle is 49 degrees. 180-90-49=41, so that's your answer! Hope I helped you.

i believe the answer would be 41 because the triangle is 180 degrees and so you would add the 49 and the 90 degree angle then subtract that from 180, then you get 41.

It's 13.5 because you put them in order and then you have 13 and 14 you add them together and then divide by 2

So you first have to order them least to greatest, which would be : 8 , 9 , 13, 14 , 15, 16. Since the number of numbers is even, average the 2 middle numbers. This is 13 + 14 divided by 2 or 13.5.

-4 is to the right of -7 . -4 is located to the left of -1.

What I did was put 45/60 (45 as the minute and the 60 to make up an hour) into 75/100 which I then put the 2.75( the 2 hours from the time already) and divided 8580/2.75= 3120