Find the area of the shape

Answer:

"35.84 years" is the appropriate solution.

Step-by-step explanation:

The given values are:

Rate of savings generation,

[tex]s'(t)=300e^{\frac{t}{20} }[/tex]

System cost to install,

= $30000

Now,

The total savings will be:

⇒  [tex]s(t)=\int\limits s'(t) \ dt[/tex]

On substituting the values, we get

⇒         [tex]= \int\limits 300e^{\frac{t}{20} } \ dt[/tex]

⇒  [tex]s(t)=\frac{300e^{\frac{t}{20} }}{\frac{1}{20} }+c[/tex]

When,

Savings = 0

t = 0, then

⇒  [tex]0=6000e^o+c[/tex]

⇒  [tex]c=-6000[/tex]

The formula will be:

⇒  [tex]s(t)=6000[e^{\frac{t}{20} }-1][/tex]

On putting the values in the above formula, we get

⇒  [tex]30000=6000(e^{\frac{t}{20} }-1)[/tex]

           [tex]5=e^{\frac{t}{20}}-1[/tex]

        [tex]e^{\frac{t}{20} }=6[/tex]

On taking log, we get

⇒  [tex]\frac{t}{20} =log \ 6[/tex]

      [tex]t=20 log 6[/tex]

        [tex]=35.84 \ years[/tex]  

Answer:

51 degrees

Step-by-step explanation:

As we already know that this triangle is a right triangle.

To find x, you need to subtract both angles.

90 - 39

= 51

Answer:you just add the numbers to get answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]\dfrac{x+y}{2}[/tex]

Step-by-step explanation:

Let first number be x and another number is y.

A rational number is a fraction that can be expressed in the form of x/y.

A rational number between x and y is given by :

[tex]R=\dfrac{x+y}{2}[/tex]

So,

If x and y are two rational numbers such that x < y , then [tex]\dfrac{x+y}{2}[/tex] is a rational number in between x and y.

Answer:

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

Step-by-step explanation:

This is just algebraic manipulation. In order to solve for y, you need to isolate it. Start this by moving the 2x from the left side of the equation. You can do this by subtracting 2x from both sides and you should end up with:

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

After this, you still have a negative y, which means you just need to divide both sides of the equation by -1 to get rid of the negative. That should reverse the signs of all the variables in the equation, making it look like:

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

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2/3 x 6 is 4 because when you times the 2 in 2/3 u get 12 and 12/3 is the same as 4

Step-by-step explanation:

10. a1=3, a2=1, a3=3, a4=1, a5=3

11. a3=2x1=2, a4=2x2=4, a5=4x2=8

hope that helps :)

Answer:

[tex]\frac{34}{39}[/tex]

Step-by-step explanation:

[tex]2\frac{5}{6}[/tex] can be rewritten as [tex]\frac{17}{6}[/tex]

[tex]3\frac{1}{4}[/tex] can be rewritten as [tex]\frac{13}{4}[/tex]

So now

[tex]\frac{17}{6} / \frac{13}{4}[/tex]

Flip the second fraction and multiply

[tex]\frac{17}{6} * \frac{4}{13} = \frac{68}{78}[/tex]

Now reduce the fraction

[tex]\frac{34}{39}[/tex]

Answer:

I think the correct answer is....... The measure of center for table 1 is 61, 62, 58, and 57 inches. The most kids had the same number of inches in this category.

I'm not 100% sure so try at your own risk

Have a great day!

The center of measures of table 1 height (task1) are Mean of heights of siblings are 58.29. Median of the height of 24 siblings are 61.5. Mode of the height 24 siblings 57,58,61,62 are the heights in inches.

Measures of center of data set is also "a way of describing data set. The two most widely used measures of the center is mean and median".

Mean is the process of "adding all values and then divided by total number of values".

Median is the "process of arranging data value in ascending or descending order and then divided data set into two if 'n' is odd then middle  point is the median or if 'n' is even then sum of two mid value and then divided by two".

Mode can be one, "two or more in the given data set. The number or data point which have more frequency is taken as mode".

According to the question,

Measures of center is the most appropriate for the data in Table 1 (Height) in Task 1.

Heights in inches                       Frequency

         55                                             1

          57                                              3

          58                                             3

          59                                              2

          60                                              1

          61                                               3

          62                                              3

          63                                              2

          64                                              2

          65                                              2

          66                                              1

           67                                              1

Total number of frequency = N = 1+3++3+2+1+3+3+2+2+2+1+1 =24. Number of siblings n =12

Mean = ∑(Height of inches × Frequency of height)/Total number of frequency.

= [tex]\frac{(55*1+57*3+58*3+59*2+60*1+61*3+62*3+63*2+64*2+65*1+66*1+67*1)}{24}[/tex]

= [tex]\frac{1399}{24}[/tex]

= 58.29.

Mean of heights of siblings are 58.29

Median of the height of 24 siblings are sum of 61 and 62 divided by 2.

= [tex]\frac{61+62}{2}[/tex]                           [since 'n' is odd]

=61.5.  

Median of the height of 24 siblings are 61.5.

Mode of the height 24 siblings 57,58,61,62 are the heights in inches.

Hence, the center of measures of table 1 height (task1) are Mean of heights of siblings are 58.29. Median of the height of 24 siblings are 61.5. Mode of the height 24 siblings 57,58,61,62 are the heights in inches.

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Answer:

1200

0.65

The answers are in the function

Answer:

6.5

Step-by-step explanation:

you take the sides all added up (which was 13in) and divided it by two

Answer: the answer is 18. Trust me. I know what I’m doing lol

Step-by-step explanation:

Answer:

The two numbers that multiply to -5 and add to 4 are:

5 and -1

Step-by-step explanation:

5 • -1= -5

5 - 1= 4

Answer:

d

Step-by-step explanation:

Answer:

11t -2

Step-by-step explanation:

3t - 5 + 8t + 3

Combine like terms

3t +8t- 5  + 3

11t -2

Start by changing the problem to 3t + -5 + 8t + 3.

Now combine like terms.

Combine like terms → your numbers

and your "t" terms.

So 3t + 8t is 11t and -5 + 3 is -2.

So the answer is 11t - 2.

Answer:

system is:

y = 1/2x

y = 1/2x - 2

No Solution to this system

Step-by-step explanation:

Answer:

Step-by-step explanation:

The nth term of an arithmetic sequence:  aₙ = a₁ + d(n - 1)

{d = common difference}

a₁ = 5

a₄ = 5 + d(4 - 1)

-4 = 5 + 3d

-4 - 5 = 3d

3d = -9

 d = -3

Therefore;

                  aₙ = 5 + (-3)(n - 1)

                   aₙ = -3n + 8

Check:  a₁₀ = 5 + (-3)(10 - 1) = 5 - 27 = - 22

The nth term of the sequence is Tn = 8 - 3n

The given parameters are:

a = 5, first term

T4 = -4 --- the 4th term

T10 = -22 --- the 10th term

The nth term of an arithmetic sequence is:

Tn = a + (n - 1) * d

So, we  have:

T4 = a + (4 - 1) * d

Substitute known values

-4 = 5 +(4 -1) * d

This gives

-4 = 5 + 3d

Subtract 5 from both sides

3d = -9

Divide by 3

d = -3

Recall that:

Tn = a + (n - 1) * d

So, we have:

Tn = 5 + (n - 1) * -3

Expand

Tn = 5 + 3 - 3n

Solve

Tn = 8 - 3n

Hence, the nth term of the sequence is Tn = 8 - 3n

Read more about arithmetic sequence at:

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Answer:

First, multiply the radius by 2 to get the diameter 18 inches. Then, multiply the diameter by 3.14 (an approximation for 1) to get a circumference of about 56.52 inches. If the diameter doubles the circumference doubles.

Step-by-step explanation:

18π = 56.52

36π = 113.04

56.52*2 = 113.04

Answer:

Kala's first step.

Step-by-step explanation:

Solving linear equations.

But Kala did not do that. Instead, she skipped the first stages and moved on ahead, making her equation invalid.

Answer:B

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

There are 9 x's above 1 letter mailed.

Answer:

48

Step-by-step explanation:

To find the range, you have to subtract the biggest/largest number by the smallest number:

108 - 60 = 48

The range is 48.

Answer:

41.5 Yards

Step-by-step explanation:8 3/10 * 4 = 33.2,

33.2+8 3/10 = 41.5

Answer:

118ft

Step-by-step explanation:

dont ask how i got it i just got the answer from my teacher but they didnt show me the work. ur welcome

Answer:

I can't read it

Step-by-step explanation:

Answer:

x=2.2

y=-3.4

Step-by-step explanation:

subtract the second from the first

-5x=-11

x=2=2

substituting by x in the first equation

so y=-3.4

Answer:

9, 10, 11, 12, 13, 14, 15

Step-by-step explanation:

0 + 9 = 9

1 + 9 = 10

2 + 9 = 11

3 + 9 = 12

4 + 9 = 13

5 + 9 = 14

6 + 9 = 15

The sequence of at least six numbers, by using rule x + 9 Start with x = 0 is 9, 10, 11, 12, 13, 14.

An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.

Given:

x + 9

First sequence, Put x = 0

0 + 9 = 9

Second sequence, put x = 1

1 + 9 = 10

Second sequence, put x = 2

2 + 9 = 11

Second sequence, put x = 3

3 + 9 = 12

Second sequence, put x = 4

4 + 9 = 13

Second sequence, put x = 5

5 + 9 = 14

To know more about the sequence:

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