Write an
explicit formula for an, the nth term of the sequence 21, 27, 33, ....

i would start by simplifying the equation to get y by itself, you don't need to do this, but it makes it a little easier

y + 2 = 3 ( x + 4) distribute the 3 through the parenthesis

y + 2 = 3x + 12. subtract 2 from both sides

y = 3x +10

now to fill in the chart simply plug in the value of x to see what value of y it produces

y = 3(-2) +10

y = -6+10

y = 4

(-2,4)

y = 3(0) + 10

y = 0 + 10

y = 10

(0,10)

y = 3(2)+10

y = 6 + 10

y = 16

(2,16)

y = 3(4) + 10

y = 12 + 10

y = 22

(4,22)

Answer:

Step-by-step explanation:

its c

Answer:

10.58

Step-by-step explanation:

the percentage multiplier is 0.23

so do 46 x0.23 = 10.58

Answer:

Student B's score has a greater variation from the mean than student A's score

Step-by-step explanation:

Student A : standard deviation = 5.4

Student B : standard deviation = 10.6

The standard deviation is used to measure the degree of variability of a measured value from the mean or average value of the set. The higher the value of standard deviation, the greater the variabilityabiut the mean. Hence for the question given above, Student B's score varies greatly from the mean Than student A's score.

Answer:

Point C

Step-by-step explanation:

Points are read as (x, y).

This means that 2 = x and y = 3.

X is the bottom line, whilst Y is the line going up.

Answer:

12

Step-by-step explanation:

10-4=6

6÷0.50 = 12

Answer: Reflexive

Step-by-step explanation:

The property that illustrated by the following statement is D.  Symmetric

The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.

The symmetric property of congruence says, for objects A and B,

 if A ≅ B, then B ≅ A.

The symmetric property of congruence makes the  statement true:

 if ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA

Here properties:

 Reflexive -- an object is congruent to itself: ΔHXA ≅ ΔHXA

 Commutative , the operations allow the order of their operands to be reversed: A +B = B +A for addition; AB = BA (for scalar multiplication)

 Transitive -- if A ≅ B and B ≅ C, then A ≅ C.

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Answer:

16 years approx

Step-by-step explanation:

Given data

P=$3000

r= 6%

A= $7700

t= ??

The compound interest formula is

A= P(1+r)^t

Calculate time, solve for t

t = ln(A/P) / r

substitute

t= ln(7700/3000)/0.06

t= ln(2.566)/0.06

t= 0.942/0.06

t= 15.7

The time is 16 years approx

Answer:

Step-by-step explanation:

Answer:

In general, the number of valence electrons is the same within a column and increases from left to right within a row. Group 1 elements have just one valence electron and group 18 elements have eight, except for helium, which has only two electrons total.

Step-by-step explanation:

Answer:

2x + 3/10

Step-by-step explanation:

2/5 (10x + 3/4) - 2x = 4x + 3/10 - 2x = 2x + 3/10

Answer:

$115.36

Step-by-step explanation:

Given data

P=$103

r=1.9%

t= 6 years

The expression for the amount is given as

[tex]V = P e ^{r t}[/tex]

substitute

[tex]V = 103*e^{0.019 *6}[/tex]

[tex]V = 103*e^{0.114}\\\\V = 103*1.120\\\\V = 115.36\\\\[/tex]

Hence the final amount is $115.36

Answer:

Step-by-step explanation:

we will calculate first the sales tax

706.95*(9.75/100)=68.93

706.95+68.93= $775.88

Answer:

do like this i think answer is correct

Answer

134.35

Step by step explanation

95+39.35

=134.35

Answer:

95(sq rt 2)

Step-by-step explanation:

Pythagorean theorem

95^2+95^=diagonal^2

diagonal^2=18050

95(sq rt 2)

Answer:

good luck, i hope this helps :)

Answer:

7

Step-by-step explanation:

9*9=81

81+7=88

Answer:

7

Step-by-step explanation:

88 / 9 = ?

9 x 9 = 81

88 - 81 = 7

7/9

88 / 9 = 9 7/9

9 is in the large box

7 in the small box

Answer:

16.

Step-by-step explanation:

What does 75% Off mean? It means 75% of the price is subtracted. So find 75% of 64.

Here is our equation: 75/100 x 64 = 48.

So 48 dollars is going to be subtracted from 64, which gives us 64-48=16.

So the price of the wedding cake during the sale is 16.

The first number is 3 and the second is 18

Answer:

all of them are right, there's no wrong answer.

Step-by-step explanation:

all answers are x = 20,

Answer:

b=15

Step-by-step explanation:

8²+b²=17²

b²=225

b=15

Answer:

8. the length is 88/5cm or 17.6cm

Step-by-step explanation:

8.perimeter =2L + 2W

when you convert the width 42/5 = 8.4

so 52 = 2L + 2*8.4

52= 2L + 16.8

52 - 16.8 = 2L

35.2 = 2L

divide both sides by 2

L = 17.6cm

Answer:

I'm not to sure but I think A. or D. I'm so sorry if I'm wrong

The most representative sample of the population of convention participants is:

B. Surveyors stand outside local attractions and ask arriving guests if

any member of their family is in town for a convention,

A hotel provides discounts to area attractions for people attending conventions, hoping this will encourage them to bring their families. The hotel wants to see if the marketing campaign was successful.

B. Surveyors stand outside local attractions and ask arriving guests if

any member of their family is in town for a convention,

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y=x+5

Step-by-step explanation:

The opposite of y is x axis

Answer:

X + 2y = 6

first point : ( 0,3 )

second point : ( 4,1 )

third point : ( 2,2 )

forth point : ( 6,0 )

2x + 4y = 4

first point : ( 0,1 )

second point : ( 2,0 )

third point : ( -2,2 )

forth point : ( -4,3 )

Answer:

180

Step-by-step explanation:

36, 72, 108, 144, 180

90, 180

Have a great day!

Stay safe!

Bye!

<3

Answer:

62.8

Step-by-step explanation:

3.14 x 20 = 62.8

Its about 62.83

2π x radius

radius - 10 ( Half the Diameter )