What is the missing step in this proof?
(image attached below)

Answer:

The answer is A because a number on it's own is a constant (30) and a number with a variable is a coefficient (12h)

Given:

The explicit formula of a sequence is

[tex]f(n)=-9.2-2.5(n-1)[/tex]

To find:

The third, fifth, and seventeenth terms of the sequence.

Solution:

We have,

[tex]f(n)=-9.2-2.5(n-1)[/tex]

For n=3,

[tex]f(3)=-9.2-2.5(3-1)[/tex]

[tex]f(3)=-9.2-2.5(2)[/tex]

[tex]f(3)=-9.2-5[/tex]

[tex]f(3)=-14.2[/tex]

For n=5,

[tex]f(5)=-9.2-2.5(5-1)[/tex]

[tex]f(5)=-9.2-2.5(4)[/tex]

[tex]f(5)=-9.2-10[/tex]

[tex]f(5)=-19.2[/tex]

For n=7,

[tex]f(7)=-9.2-2.5(7-1)[/tex]

[tex]f(7)=-9.2-2.5(6)[/tex]

[tex]f(7)=-9.2-15[/tex]

[tex]f(7)=-24.2[/tex]

Therefore, the third, fifth, and seventeenth terms of the sequence are -14.2, -19.2 and -24.2 respectively.

Answer:

1) C

2) O

3) P

4) T

5) I

6) C

7) P

8) S

9) A

10) L

11) T

12) E

13) L

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

y-intercept or "b":

the line touches the y-axis at -4

slope:

the line rises 1, runs 1 every time

equation:

the y-intercept of -4 combined with the slope of 1/1 is the equivalent of

y=1x/1-4 OR in a more simplified format: D, y = x - 4

Answer:

ima guess 3

Step-by-step explanation:

Answer:

the 3rd one

Step-by-step explanation:

0.005, 0.55, 5.00, 5.005, 5.5

brainlyest?

Answer:

2a^2b^3 ^3squareroot4a

Step-by-step explanation:

Answer: im pretty sure its option 2

Step-by-step explanation:

Answer:

y=-2 8/9

x=31 1/2

Step-by-step explanation:

x-4y=15 --> x=4y+15

8x-5y=42

8(4y+15)-5y = 42

32y +120 - 5y = 42

27y = -78

y=-2 8/9

x=31 1/2

Answer:

x = 2.67

Move variables to the right and constants to the left, Then divide and you get the answer.

Step-by-step explanation:

-1.3+4.6x=0.3+4x (given)

-1.3x + 0.6x =0.3 (subtraction property of equality)

0.6x = 1.6 (addition property of equality)

x = 2.66666666667 (division property of equality)

2.66666666667 = 2.67 (rounding to the nearest tenth)

Answer:

a. Yes

b. minutes 3 to 6

c. yes, as long as they do not have the same x-value.

The expression that represents the word phrase of the product of 3 and 6 more than a number is 3(6 + x).

Let the given number be x.

Therefore, the expression that represents the word phrase the product of 3 and 6 more than a number will be:

= 3(6 + x)

In conclusion, the correct option will be 3(6 + x).

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Answer:

true, i feel ya.

Answer:

since your adding to hours each time youll have 11, then the answer would be d the last one :)

Step-by-step explanation:

Answer:25.50 an hour

Step-by-step explanation:

Answer:

$72 is your answer

Step-by-step explanation:

hope this helps ♡

Answer:

2 and 1/5 is greater than 2.15

Step-by-step explanation:

This is true because 1/5 is equal to .20 which is greater than .15

Answer:

B, >

Step-by-step explanation:

2 1/5

2*5= 10+1= 11

11/5 vs 2.15

2.2 vs 2.15

2.2 > 2.15

Answer:

39

Step-by-step explanation:

let the 2 digit number be ab = 10a + b ( considering place value )

The reversed  2 digit number is ba = 10b + a

The sum of the 2 digit number is

a + b = 12 ( subtract b from both sides )

a = 12 - b → (1)

Expressing as an equation

ba = ab + 54 , that is

10b + a = 10a + b + 54

Substitute a = 12 - b into the equation

10b + 12 - b = 10(12 - b) + b + 54 , simplify both sides

9b + 12 = 120 - 10b + b + 54

9b + 12 = - 9b + 174 ( add 9b to both sides )

18b + 12 = 174 ( subtract 12 from both sides )

18b = 162 ( divide both sides by 18 )

b = 9

Substitute b = 9 into (1)

a = 12 - 9 = 3

Thus

the original 2 digit number = ab = 39

The reversed 2 digit number = ba = 93

which is 54 more than the original number

Answer:

1) [tex]13x^{2}[/tex]

2) [tex]208x^{6}[/tex]

Step-by-step explanation:

(3*3(x)^2) + (2*2(x)^2) = 9x^2 + 4x^2 = 13x^2

(6*6*6(x)^3) - (2*2*2(x)^3) = 216x^3 - 8x^3 = 208x^3

According to BODMAS rule...

We would first solve...

Bracket i.e.(4+7)

Answer:

1^8, 2^4, 5^2, 3^3 is the answer.

The numbers ordered from the smallest to the largest is [tex]1^{8} , 2^{4} , 5^{2} , 3^{3}[/tex].

In order to determine the order of the numbers, we have to solve for the numbers. The power of a number can be solved by multiplying a number by its number of power.

[tex]5^{2}[/tex] = 5 x 5 = 25

[tex]1^{8}[/tex] = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1

3³ = 3 x 3 x 3 = 27

[tex]2^{4}[/tex] = 2 x 2 x 2 x 2 = 16

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Answer:Let's plug in (18,10) into each answer choice until we find the one that has it as a solution.

A) 2x - y = 26

2(18) - 10 = 26

36 - 10 = 26

26 = 26

Your answer is A.

I'll just do the rest to show that you the they are incorrect.

B) x + y = 18

18 + 10 = 18

28 ≠ 18

C) 2x - 2y = 36

2(18) - 2(10) = 36

36 - 20 = 36

16 ≠ 36

D) x - y = -28

18 - 10 = -28

8 ≠ -28

Your answer is A) 2x - y = 26.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

2(18) - (10) = 26

36 - 10 = 26

Answer:

40 I think but no I think

Given:

[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]

To find:

The correct multiplication that can be used to check this division problem.

Solution:

We have,

[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]

[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}=\dfrac{3}{2}[/tex]

Multiply both sides by [tex]\dfrac{4}{15}[/tex].

[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}\times \dfrac{4}{15}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]

[tex]\dfrac{2}{5}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]

So, the required multiplication is [tex]\dfrac{3}{2}\times \dfrac{4}{15}[/tex].

Therefore, the correct option is B.

Answer:

Which multiplication expression can be used to check this division problem:  StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction

Two-fifths times StartFraction 4 Over 15 EndFraction

Three-halves times StartFraction 4 Over 15 EndFraction

Three-halves times StartFraction 15 Over 4 EndFraction

Five-halves times StartFraction 15 Over 4 EndFraction

Step-by-step explanation:

( B) AKA 3/2 x 4/15 . This is correct  because I just took the test

Answer:

yes, 8.5 and 3.5

Step-by-step explanation:

8.5 + 3.5 = 12

8.5 - 3.5 = 5

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The two numbers are 8.5 and 3.5.

Yes, it is possible to have two numbers that have a difference of 5 and a sum of 12.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 4 is an equation.

3x = 4 + 3 is an equation.

We have,

Let the two numbers be M and N.

Now,

Two numbers have a difference of 5.

This can be written as,

M - N = 5 _____(1)

Two numbers sum is 12.

This can be written as,

M + N = 12 _____(2)

From (1) and (2) we get,

M - N = 5

M = 5 + N _____(3)

Putting (3) in (2)

M + N = 12

5 + N + N = 12

5 + 2N = 12

2N = 12 - 5

2N = 7

N = 7/2

N = 3.5

Putting in (3) we get,

M = 5 + 3.5

M = 8.5

We can cross-check.

M - N = 5

8.5 - 3.5 = 5 (PROVED)

M + N = 12

8.5 + 3.5 = 12 (PROVED)

Thus,

The two numbers are 8.5 and 3.5.

Yes, it is possible to have two numbers that have a difference of 5 and a sum of 12.

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Answer:

15) 3(4+r)=-18

3x4+3xr

12+3r= -18

-12        -12

3r= -30

/3    /3

r= -10

Step-by-step explanation:

distribute the 3 to the 4 and the r you should then have 12+3r=-18 and so subtract from both sides 12 and you should have 3r=-30 divide both sides by 3 and you get your answer r=-10

Answer:

(7) n=9

8) x=8

9) m=-7

10) b= -6

11) r=6

12)b=10

13)v=8

14)k=-8

15)r=-10

16)p=20

17)v=10

18)x=21

19)a=28

20)b=10

Step-by-step explanation:

Answer:

mars is 140 times farther than the moon

Step-by-step explanation:

hope this helped :-)

The probability of P(Boy/Senior) is 2/37.

Given that, the total number of students=37 and the number of senior boys=2.

P(A|B)=P(A ∩ B)/P(B).

We need to find P(Boy/Senior).

P(A ∩ B) indicates the probability of A and B, or, the probability of A intersection B means the likelihood of two events simultaneously, i.e. the probability of happening two events at the same time.

Now, P(Boy/Senior)=2/37.

Therefore, the probability of P(Boy/Senior) is 2/37.

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Answer:

2/7

Step-by-step explanation:

2 seniors / 7 seniors in total