Is the line vertical or horizontal if the equation is x=-1.

Answer:

y = 10x

Step-by-step explanation:

Independent variable (x) = time (minutes)

Dependent variable (y) = distance (feet)

The line passes through the point of origin (0, 0), which means it represents a proportional relationship. Therefore, the equation would be in the form of y = mx. Where,

m = slope = y/x

Using any point on the line, say (5, 50),

m = 50/5

m = 10

To write the equation, substitute m = 10 into y = mx

Thus:

y = 10x

Answer:

a) t-statistic  t = 0.9532

b) The standard error  S.E = 1.2

c) The new  t-statistic = 1.95

d)  The new estimated standard error =0.666

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 16

The sample size n=27

The mean of the sample = 17.1

Given that the variance of the sample (S²) = 36.0

The standard deviation of the sample (S) = √36 = 6

Test statistic

  [tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

 [tex]t = \frac{17.1 -16}{\frac{6}{\sqrt{27} } }[/tex]

t = 0.9532

b)

   The standard error is defined by

  [tex]S.E = \frac{S.D}{\sqrt{n} } = \frac{6}{\sqrt{27} } =1.154[/tex]

Step(ii):-  

c) given that the sample size n = 81

Test statistic

 [tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

 [tex]t = \frac{17.1 -16}{\frac{6}{\sqrt{81} } }[/tex]

t = 1.65

d)

The new standard error is defined by

  [tex]S.E = \frac{S.D}{\sqrt{n} } = \frac{6}{\sqrt{81} } = 0.66[/tex]

Answer:

-6 and -1

Step-by-step explanation:

let's suppose there are two numbers x and y so that it that works that would give the following equations

[tex]x*y=6 \\ x+y =-7[/tex]

now let'S rewrite the first to the form y =

[tex]y=\frac{6}{x}[/tex]

and plug that into the second one

[tex]x+\frac{x}{6} = -7|*6\\6x+x=-42\\7x=-42|:7\\x=-6[/tex]

use that to find out what y is

[tex]-6+y=-7|+6\\y=-1[/tex]

you can check that with the first equation

Answer:

x = 30

m<2 = 94°

m<3 = 94°

Step-by-step explanation:

✔️m<2 = m<3 (vertical angles)

4x - 26 = 3x + 4 (substitution)

Collect like terms

4x - 3x = 26 + 4

x = 30

✔️m<2 = 4x - 26

Plug in the value of x

m<2 = 4(30) - 26

m<2 = 94°

✔️m<3 = 3x + 4

m<3 = 3(30) + 4

m<3 = 94

Using the Pythagorean theorem:

Length of wire = sqrt(34^2 + 8^2)

Length of wire = sqrt(1156 +64)

Length of wire = sqrt(1220)

Length of wire = 34.9285 feet

There are 2 wires:

34.9285 x 2 = 69.857 feet

Round off as needed.

Answer:

34.93 feet

Step-by-step explanation:

Using a^2+b^2=c^2

we can substitute a and b in which is

34^2+8^2=c^2

1156+64=c^2

1220 = c^2

Now we need to square both sides

√1220 = √c^2

34.9284983931 ----> 34.93

34.93 = c

c = 34.93

Answer:

Hey! :)

Step-by-step explanation:

You could create a wave with a higher frequency on a rope by wiggling up and down at a faster rate, the wave should become shorter. Clearly you will find a relationship between wave length and frequency :)

＊✿❀ ❀✿＊**＊✿❀ ❀✿＊**＊✿❀ ❀✿＊**＊✿❀ ❀✿＊**＊✿❀ ❀✿＊*

Have a nice day! :)

Answer: $3004166.02

Step-by-step explanation: Alrighty then so first we need a formula to solve which is A=Pe^rt which is the compounded continously formula you can find online or a textbook. The formula you should use a calculator to solve is $1,000,000e^0.055(20)= $3,004,166.024

Answer:

y=5, x=0. that is the first. I'll leave the rest to you.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Graph given in the attachment represents a linear function f(x).

y = -f(x) represents the reflection of the graph across x-axis.

Therefore, y-coordinates of the points on the graph will get opposite notation after the reflection across x-axis.

Points on the graph of function f(x) are,

(0, -2), (2, 0), (4, 2) and (5, 1)

Therefore, points for the graph y = -f(x) will be,

(0, 2), (2, 0), (4, -2) and (5, -1)

Now we can plot these points to get the graph of y = -f(x)

Answer:

228

Step-by-step explanation:

absolute value is total steps away from zero. it's always positive. so the abs of a negative number is just the positive of that number.

Answer:

228

Step-by-step explain

The absolute value is the distance. ... If there is an absolute value of a negative number (l-6l), the distance of it away from zero cannot be a negative distance. So if the distance is always positive, then the absolute value will always be positive.

Answer:

The answer is "Option D"

Step-by-step explanation:

Please find the complete question in the attachment file.

House's valued worth (in milles) = 74.80 + 20.81 (number of rooms). It indicates that we will need to pay $ 20810 per additional amount throughout every actual room in the house. It is a complete risk, that becomes forecast to expand $20,810 for every additional part of the house, that's why choice D is correct.

Answer:

Step-by-step explanation:

Answer:

y^3

Step-by-step explanation:

12.y. y. y= 12y^3

variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set. So basically a variable is the letter in the equation

Answer:

16.65

Step-by-step explanation:

15 percent of 111 is the same as 15 per hundred of 111. We can therefore make the following equation:

15/100 = X/111

To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 111, and then finally divide the numerator by the denominator on the right side to get the answer. Here is the work to illustrate:

15/100 = X/111

X/111 = 15/100

X*111/111 = 15*111/100

X = 1665/100

X = 16.65

or

The work above shows the long way to explain how to calculate 15 percent of 111 in order to give you a foundation and better understanding of how to calculate percentage. In the future, you could use this simplified formula:

(Y * P)/100

In our problem "What is 15 percent of 111?", Y is 111 and P is 15:

(111 * 15)/100 = 16.65

And once again you see that the answer is 16.65.

Answer:

740

Step-by-step explanation:

If we substitute "what number" in the question "111 is 15 percent of what number?" with 740, we get this sentence: 111 is 15 percent of 740. Since this statement is true, we know that our answer is correct.

Following shows the steps on how to derive this formula

Step 1: If 15% of a number is 111, then what is 100% of that number? Setup the equation.

111          Y

------  =   -------

15         100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

15Y = 111 x 100

15Y = 11100

Y = 11100

100 = 740

Formula = Number x 100     111 x 100

                 --------------------- = ------------  = 740

                   Percent              15

Hope this helps

Answer:

A

Step-by-step explanation:

Answer:

23 m, South

Step-by-step explanation: He traveled 25 m north then he went 48 m south so that means you would have to subtract 25 from 48 to get 23 m, south

Answer:put the questions in order before sloving  cuz i don't understand the question .

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

([tex]\frac{1}{2}[/tex])² + ([tex]\frac{1}{2}[/tex])² = 1/4 + 1/4 = 2/4 or 1/2

Answer:

the midpoint is at (-1,-4)

Answer:

-1, -4

Step-by-step explanation:

find the middle of the segment

Answer:

(8, -1)

Step-by-step explanation:

its the point of intersection

Answer:

D

Step-by-step explanation:

the following lines meet up at the poitn (8,-1) which is to answer d

hope this helps

Answer:

67.5,

Step-by-step explanation:

22.5x3 =67.5,   P=2(l+w)=2·(22.5+67.5)=180

Answer:

d

Step-by-step explanation:

Answer:

that person is wrong it is c

Step-by-step explanation:

i did it

Answer:

50 - 10 = 40 = x

Good luck!

Answer:

40

Step-by-step explanation:

50-10=40=x

40+10=50 40=x

Solution :

A). As the time passes the temperature of the coffee tends to acquire the temperature of the room, so the limiting value of the temperature of the coffee is 20°C. i.e.

[tex]$\lim_{t \to \infty} T(t)=20$[/tex]

B). And limiting value of rate of cooling is given by :

[tex]$\lim_{t \to \infty} \ \frac{dT}{dt} =\lim_{t \to \infty} \ [k(T-T_{room})] $[/tex]

              [tex]$=k . \lim_{t \to \infty} (T-T_{room})$[/tex]

              [tex]$=k .[ \lim_{t \to \infty} T-\lim_{t \to \infty} T_{room}]$[/tex]

              [tex]$=k.[T_{room}-T_{room}]$[/tex]

              = k. 0

             = 0

C). Given, [tex]$\frac{dT}{dt} = -1, $[/tex] when T(t) = 70° using this in the given equation,

         -1 = k.(70-20)

         k = -0.02

D). By Euler method, we get

      [tex]$T_{n+1}=T_n + h \ f(t_n, T_n)$[/tex]

      [tex]$t_{n+1}=t_n +h$[/tex]

where, [tex]$f(t,T) =k(T-T_{room})$[/tex]

                       = -0.02(T - 20)

We have [tex]$T_0 = 90^\circ$[/tex]  at t = 0 and h = 2.

So [tex]$t_1 = 0+2 = 2$[/tex]

∴ [tex]$T_1=T_0 + h \ f(t_0,T_0)$[/tex]

       = 90+2[-0.02(90-20)]

       = 87.2

At [tex]$t_2 = 2+2 = 4$[/tex]

[tex]$T_2=T_1 + h \ f(t_1,T_1)$[/tex]

   = 87.2+2[-0.02(87.2-20)]

  = 84.51

At [tex]$t_3 = t_2+2 = 4+2=6$[/tex]

[tex]$T_3=T_2 + h \ f(t_2,T_2)$[/tex]

   = 84.51+2[-0.02(84.51-20)]

  = 81.93

At [tex]$t_4 = t_3+4 = 6+2=8$[/tex]

[tex]$T_4=T_3 + h \ f(t_4,T_4)$[/tex]

   = 81.93+2[-0.02(81.93-20)]

  = 79.45

At [tex]$t_5 = t_4+2 = 8+2=10$[/tex]

[tex]$T_5=T_4 + h \ f(t_4,T_4)$[/tex]

   = 79.45+2[-0.02(79.45-20)]

  = 77.07

So after 10 minutes, the temperature of the coffee will be 77.07°C.

Answer: a scatter plot

Step-by-step explanation:

Answer:

Positive

Step-by-step explanation:

As size increases, amount of water to fill it would obviously increase. This means there is a positive increase, meaning that the correlation would be positive.

Answer:

Divide the number of ice-cream bars into the number of people. Example: say you have 20 ice cream bars and 10 people you divide 20/10 and get 2 ice cream bars per person

Step-by-step explanation:

Are you also a simp for draco? :3

Answer: the value of a is less than b because its to the left

Step-by-step explanation: