The tomato plants in Ms. Lang's
garden grow 2 inches every 3 days. How much will they grow in 15 days?

Answer:

m∠Z= 23°

Step-by-step explanation:

if they're equal, as are their angles

124°+33°= 157°

180°-157°= 23°

m∠Z = 23°

The triangles are congruent. Therefore,

ΔXYZ ≅ ΔMNL

∠Y ≅ ∠N

Therefore,

∠Y = 124°

Sum of angles in a triangle = 180°

33 + 124 + m∠Z = 180°

157 +  m∠Z  = 180°

m∠Z = 180 - 157

m∠Z = 23°

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Answer:

Step-by-step explanation:

The figure consist of:

The perimeter is:

Answer:

67.5,

Step-by-step explanation:

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

Answer:

-4j + 3 or 3 - 4j

Step-by-step explanation:

you can combine the terms in any order that you want, but i'm going to begin with the j terms.

first, identify the like terms.

-6j + 4 + 2j - 1

then combine the like terms.

-6j + 2j = -4j

now identify the next set of like terms.

-6j + 4 + 2j - 1

combine those like terms.

4 - 1 = 3

after combining the first set of like terms, you're left with: -4j

after combining the second set of like terms, you're left with: 3

therefore the simplified expression is -4j + 3 or 3 - 4j. rearranging those terms doesn't change the answer, so it doesn't matter what order you write it in.

i hope this helps!! have a great rest of your day :)

Answer:

y = 2x - 10

Step-by-step explanation:

Slope-intercept form is...

y = mx + b

To get the slope, you have to use the formula...

(y2 - y1) / (x2 - x1)

In this case,

y2 = 2

y1 = 10

x2 = 6

x1 = 10

So...

(2 - 10) / (6 - 10)

= -8 / -4 = 2

Therefore, slope is 2

y = 2x + b

Using any of the two x and y value provided, input the values in the equation

(I'm going to use 6,2)

2 = 2(6) + b

2 = 12 + b

b = -12 + 2

b = -10

Put this all together...

y = 2x - 10

Hope this helps :)

Let me know if there are any mistakes!!

Answer:

20%

Step-by-step explanation:

40 pieces total

32 pieces eaten

40 - 32 = 8

8 pieces not eaten

Percentage = (part / whole) x 100%

Percentage = (8 / 40) x 100% = 0.2 x 100%

Percentage = 20%

Answer:

-42+31x

Step-by-step explanation:

-30+31x-12

-42+31x

Answer:

Step-by-step explanation:

142/596 ≅ 0.238 = 23.8%

[tex] \frac{142}{596} \times 100[/tex]

= 23.8255....

= 23.8%

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: 0.6818182

Step-by-step explanation:

Answer:

fhduogherogi

Step-by-step explanation:

Answer:

100% right answer

Answer:

G. 118°

Step-by-step explanation:

Imagine a line, parallel to AD, that passes through B to a point x on the line CD.

∠CBX=∠CAD=28 (corresponding angles)

∠EBX=90 (BX║ED, BE║XD)

∠CBE=∠CBX+EBX

∠CBE=28+90

∠CBE=118°

Answer:

pmdas perenthisis multiply divide add subtract

Step-by-step explanation:

Answer: 1. 13

2. 8

3. 20

4. 40

Step-by-step explanation:

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:

you add 1 to 5 and then you find y but on x you multiple t

Answer:

Step-by-step explanation:

(5, -30)  (6, -36)

(-36 + 30)/(6 - 5) = -6/1 = -6

y + 30 = -6(x - 5)

y + 30 = -6x + 30

y = -6x + 0

y = -6x

Answer:

Reject the Null ;

0.928

Step-by-step explanation:

Given the data: 2, 4, 3, 5, 1, 1, 4

Sample mean = (2 + 4 + 3 + 5 + 1 + 1 + 4) / 7 = 2.857

Standard deviation, s = 1.57 ( using calculator)

The hypothesis :

H0 : μ = 1.4

H1 : μ ≠ 1.4

Since sample size is small, use T test

Test statistic :

Tstatistic = (x - μ) / s/sqrt(n)

Tstatistic = (2.857 - 1.4) / 1.57/sqrt(7)

Tstatistic = 1.457 / 0.593 = 2.455

Two tailed test at α = 0.05

Tcritical at df = 7-1 = 6 ; α = 0.05 = 2.447

Tstatistic > Tcritical ; reject the null

Since ;

2.455 > 2.447 ; we reject the null ;

There is significam evidence that Number of complaints has changed.

Effect size ;

d = (x - μ) / s

d = (2.857 - 1.4) / 1.57

d = 1.457 / 1.57

d = 0.928

9514 1404 393

Answer:

  6.2 ft

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr²h

Here, we have r=2h and V=3000 ft³. Putting these numbers into the formula and solving for h, we get ...

  3000 ft³ = π(2h)²h

  (3000 ft³)/(4π) = h³ . . . . . divide by the coefficient of h³

  h = ∛(750/π) ft ≈ 6.2 ft

The pool is about 6.2 feet deep.

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:

That is correct

Step-by-step explanation:

if you add all those numbers together, it will add up to 123... i think

Answer:

B

Step-by-step explanation:

"5 times as many bears"

A would be 5 more bears than,

B would be 5 times more bears than,

C would be 5 times less bears than, and

D would be 5 less bears than.

Answer:

B. b = 23 * 5

Step-by-step explanation:

Yellow Park: 23 bears

Green Park: 5 times as many bears as in Yellow Park

5 times 23 bears is is 5 * 23 or 23 * 5

Answer: B. b = 23 * 5

Answer:

they each costed $2

Step-by-step explanation:

all you do is take 5 and count how many fingers u have left then u get 2

Answer:

Each book mark is 2 dollars

Step-by-step explanation:

You subtract the $5 from the $13 and that is equal to 8 dollars. Then you divide 8 by the 4 bookmarks and the answer is 2 dollars.

Domain= "number of minutes water has been added" and the set of all real numbers would be from 0-60

Range= "amount of water in the pond(in liters) and the set of all real numbers from 500-2000

I hope this helps

I'm terribly sorry if this is wrong  

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:

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:

Lifetimes=17,698.39

Step-by-step explanation:

The number of hours, H, in the employee's lifetime is

H=24(365)(71)=621960

At 13/hour, this is lifetime wages of

13(621960)=8,085,480

Divide this into 143,100,000,000 to get

Lifetimes=17,698.39

Note that this does NOT imply that the employee is underpaid.

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:

The third plot shows the outlier

Step-by-step explanation:

The other plots dots are closer together than the third image. Therefore making the image that has the outlier would be the third image represented