What is the solution for the system of equations shown in this graph?

Answer:

The equation for the nth term of  the given arithmetic sequence is: [tex]\mathbf{a_n=13n+22}[/tex]

Step-by-step explanation:

We need to write an equation for the nth term of  the arithmetic sequence:

15,28,41 ....

The equation for arithmetic sequence is: [tex]a_n=a_1+(n-1)d[/tex]

Where [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is first term and d is common difference

In the given sequence we have:

a₁ = 15

a₂ = 28

We can find common difference using the formula:

[tex]a_n=a_1+(n-1)d\\Put\: n=2, a_2=28\: and\: a_1=15\\a_2=a_1+(2-1)d\\28=15+d\\d=28-15\\d=13[/tex]

So, the common difference d is 13

Now, equation for nth term will be:

[tex]a_n=a_1+(n-1)d\\Put\:a_1=15, d=13\\a_n=15+(n-1)13\\Solving:\\a_n=15+13n-13\\a_n=13n+2[/tex]

So, the equation for the nth term of  the given arithmetic sequence is: [tex]\mathbf{a_n=13n+22}[/tex]

where n=1,2,3..

Answer:

7π

Step-by-step explanation:

SO first find the area of the whole circle

which has a radius of 3

a=πr^2

So 3^2=9

9π

Now the two circles which are the same in area due to having the same radius

so if you plug in the 1 for radius the answer would just be π or 1π

now multiply that by 2 becuase there are 2 identical circles

π*2=2π

Now subtract

9π-2π=7π

Answer:

Step-by-step explanation:

area of unshaded circle:

A=π*r^2=π*1=π

we have 2 circles so the area of both circles are 2π

area of the large circle is A(l)=Π*3^2=Π*9=9Π

area of the shaded region: A(s)=9Π-2Π=7Π

Answer: 78

Step-by-step explanation:

The length of h to the nearest inch is 78 inches.

Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,

a² = b² + c² - 2bc cos(A)

Given that, In ΔFGH,

f = 83 inches, g = 11 inches and ∠H = 60°.

Using the law of cosines,

h² = f² + g² - 2fg cos(H)

Substituting,

h² = 83² + 11² - (2 × 83 × 11) cos (60°)

   = 7010 - (1826 × 1/2)

   = 7010 - 913

   = 6097

h = √6097 = 78.083 inches ≈ 78 inches

Hence the length of h is 78 inches.

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Answer:

842

Step-by-step explanation:

Fiona's Fashion Store is world renowned for its buttoned uniforms. A collection of 36 shirts and 42 jackets contains 842 buttons. Additionally, a collection of 6 shirts and 7 jackets contains 137 buttons.

Answer:

1. 5

2. -1

3.-41

4. 55

5.-155

Step-by-step explanation:

Answer:

1) 5

2) -1

3) - 41

4) 55

5) -155

Answer: its 20 bro i got you

Step-by-step explanation:

Answer:

Option A: The answer should be 10% of 6 is the correct answer.

Step-by-step explanation:

Given that:

6 students play trumpet. As they represent 10% of the total students.

Let,

x represent the number of students in the band.

10% of x = 6

By solving this, we will get the value for number of students in the band.

As x will be our answer,

The choices B, C and D are correct in the given scenario.

However,

10% of 6 cannot be the solution to the problem.

Hence,

Option A: The answer should be 10% of 6 is the correct answer.

Answer:

8

Step-by-step explanation:

（10-2 is 8)

Hope this helps!

Answer:

[tex] \huge \boxed{x = 3y + 4}[/tex]

Answer:

The last one: Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.

Step-by-step explanation:

To get to (-3 1/2, -2), you would have to go left 3 1/2 units, and down 2 units.

Answer:

4,704 pounds

Step-by-step explanation:

make a ratio

boxes of apples:pounds

15:840

28:x

cross multiply:

15x = 23520

x = 4,704

hope this helps!

Answer:

5x-10

Step-by-step explanation:

Answer:

5x-10

Step-by-step explanation:

5(x-2)

5(x)=5x

5(-2)=-10

5x-10

Answer:

Since 5 tenths is 5 over ten, 5 tenths as a Fraction is 5/10. If you divide 5 by ten you get 5 tenths as a decimal which is 0.50.

Step-by-step explanation:

if im right Brainliest?

Answer:

32

Step-by-step explanation:

1/3x96= 31.999

Step-by-step explanation:

There are 96 students in total.

1/3 of total students = 96 * (1/3) = 32.

Since 1/3 of total students are boys,

there are 32 boys in the singing.

Answer:

2/3 . 9x-2/3. 15-4x-5

=2 .3x -2 .5-4x-5

=6x-10-4x-5

=2x-5

Answer:

most bottles are

about 2 pints

Step-by-step explanation:

Plz mark brainliest!

Answer:

I depends on the size a big can have 2 cups ,a medium can have 1 cup and the small has 2 pints

Step-by-step explanation:

Answer:

 f(2) =11

Step-by-step explanation:

Explanation:-

Given the function f(x) = 5x+1

                       Put x = 2

                       f(2) = 5(2)+1

             ⇒      f(2) = 10 +1

            ⇒      f(2) =11

Answer:

11

Step-by-step explanation:

A triangle has 180 degrees, and two of them are given, so you subtract them from 180 to 110. But since it is 10x, you have to divide by 10 to get your answer.

(hope this helps!)

The probabilities are solved and:

a) The expected cost at the age 60 is $ 515.

b)

Year Expected Cost

61 $678.50

62 $804.50

63 $990.50

64 $1181

c)  The policy should be priced at $4869.50.

d) The company expects to make a profit of $830.50.

Given data:

(a)

The probability that Jim will die in his 60th year is given as 0.01030.

The expected cost to Big Rock Insurance can be calculated by multiplying the probability of death at age 60 by the death benefit of $50,000:

Expected Cost at age 60 = (0.01030) * ($50,000)

Expected Cost at age 60 = $515

(b)

Expected Cost at age 61 = (0.01357) * ($50,000) = $678.50

Expected Cost at age 62 = (0.01609) * ($50,000) = $804.50

Expected Cost at age 63 = (0.01981) * ($50,000) = $990.50

Expected Cost at age 64 = (0.02362) * ($50,000) = $1181

Year Expected Cost

61 $678.50

62 $804.50

63 $990.50

64 $1181

(c)

The total expected cost to Big Rock Insurance over the years 60 through 64 can be obtained by summing up the individual expected costs:

Total Expected Cost = $515 + $678.50 + $804.50 + $990.50 + $1181 = $4169.50

To make a profit of $700 above the expected total cost, Big Rock Insurance should charge:

Policy Price = Total Expected Cost + Profit

= $4169.50 + $700

= $4869.50

Therefore, the policy should be priced at $4869.50.

(d)

If Big Rock Insurance charges $5000 for the policy, the expected profit can be calculated as:

Expected Profit = Policy Price - Total Expected Cost

= $5000 - $4169.50

= $830.50

Hence, the company expects to make a profit of $830.50.

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The probabilities are solved and

a) The expected cost at the age 60 is $ 515.

b)

Year/Age      Expected Cost

61                    $678.50

62                   $804.50

63                    $990.50

64                     $1181

c)  The policy should be priced at $4869.50.

d) The company expects to make a profit of $830.50.

(a) The probability that Jim will die in his 60th year is given as 0.01030.

The expected cost to Big Rock Insurance can be calculated by multiplying the probability of death at age 60 by the death benefit of $50,000 -

Expected Cost at age 60 = (0.01030) * ($50,000)

= $515

(b)

Expected Cost at age 61 = (0.01357) * ($50,000) = $678.50

Expected Cost at age 62 = (0.01609) * ($50,000) = $804.50

Expected Cost at age 63 = (0.01981) * ($50,000) = $990.50

Expected Cost at age 64 = (0.02362) * ($50,000) = $1181

Thus,

Year/Age      Expected Cost

61                    $678.50

62                   $804.50

63                    $990.50

64                     $1181

(c)

The total expected cost to Big Rock Insurance over the years 60 through 64 can be obtained by summing up the individual expected costs:

Total Expected Cost = $515 + $678.50 + $804.50 + $990.50 + $1181

= $4169.50

To make a profit of $700 above the expected total cost, Big Rock Insurance should charge -

Policy Price = Total Expected Cost + Profit

= $4169.50 + $700

= $4869.50

Thus it is correct to state that the policy should be priced at $4869.50.

(d) If Big Rock Insurance charges $5000 for the policy, the expected profit can be calculated as:

Expected Profit = Policy Price - Total Expected Cost

= $5000 - $4169.50

= $830.50

Hence, the company expects to make a profit of $830.50.

Learn more about probability at:

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Answer:

Because there are 12 months in a year the ratio of the number of pieces of mail Max delivers in 12 months can be written as: 852012 or 7101 (720 pieces of mail per month).

Answer:

He would deliver 1420 mails in 2 month's

Step-by-step explanation:

First, I divided 8,520 by 12 because 12 month's in one 1 year

Then, I get 710, that is the amount he delivers each month

Lastly, I multiply 710 by 2 because that is the amount for 2 month's and it equals 1,420 so, the answer is 1,420 :)

Answer:

"5 times the sum of a squared and  b minus 3 times the sum of

a and b".​

which can be simplified such as:

[tex]5\left(a^2+b\right)-5\left(a+b\right)=5a^2-5a[/tex]

Step-by-step explanation:

Given the verbal expression

"5 times the sum of a squared and  b minus 3 times the sum of

a and b".​

BREAKIN DOWN THE STATEMENT:

The sum of 'a' Squared and 'b' = a²+b

The sum of a and b = a+b

Now, "5 times the sum of a squared and  b minus 3 times the sum of

a and b".​

Let us simplify the algebraic expression

[tex]5\left(a^2+b\right)-5\left(a+b\right)[/tex]

[tex]=5a^2+5b-5a-5b[/tex]

simplify

[tex]=5a^2-5a[/tex]

Thus,

[tex]5\left(a^2+b\right)-5\left(a+b\right)=5a^2-5a[/tex]

Answer:

x = -24ySimplifying

15y + (x + 9y) = 0

Remove parenthesis around (x + 9y)

15y + x + 9y = 0

Reorder the terms:

x + 15y + 9y = 0

Combine like terms: 15y + 9y = 24y

x + 24y = 0

Solving

x + 24y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-24y' to each side of the equation.

x + 24y + -24y = 0 + -24y

Combine like terms: 24y + -24y = 0

x + 0 = 0 + -24y

x = 0 + -24y

Remove the zero:

x = -24y

Simplifying

x = -24y

Step-by-step explanation:

Answer:

get good buddy

Step-by-step explanation:

Answer:

30/(10 + v)

Step-by-step explanation:

The original formula calls for 30 ounces of water and 10 ounces of vinegar. To make it stronger they are only adding an unknown amount of vinegar (v).